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Finding the Fourth Proportional to 5,652,196.38, 7,799,864.49 and 3,205,030.86

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Solution

The fourth proportional to 5,652,196.38, 7,799,864.49 and 3,205,030.86 is: 4,422,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652,196.38 : 7,799,864.49 = 3,205,030.86 : x
  2. Step 2: Convert to fraction form
    5,652,196.38/7,799,864.49 = 3,205,030.86/x
  3. Step 3: Cross multiply
    5,652,196.38x = 7,799,864.49 × 3,205,030.86
  4. Step 4: Simplify right side
    5,652,196.38x = 24,998,806,394,268.16
  5. Step 5: Solve for x
    x = 24,998,806,394,268.16/5,652,196.38
  6. Step 6: Final answer
    x = 4,422,848.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.