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Finding the Fourth Proportional to 5,700,903.31, 7,867,348.80 and 3,122,418.01

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Solution

The fourth proportional to 5,700,903.31, 7,867,348.80 and 3,122,418.01 is: 4,308,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700,903.31 : 7,867,348.80 = 3,122,418.01 : x
  2. Step 2: Convert to fraction form
    5,700,903.31/7,867,348.80 = 3,122,418.01/x
  3. Step 3: Cross multiply
    5,700,903.31x = 7,867,348.80 × 3,122,418.01
  4. Step 4: Simplify right side
    5,700,903.31x = 24,565,151,568,459.80
  5. Step 5: Solve for x
    x = 24,565,151,568,459.80/5,700,903.31
  6. Step 6: Final answer
    x = 4,308,992.84

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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.