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Finding the Fourth Proportional to 5,637.38, 7,779.95 and 3,153.38

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Solution

The fourth proportional to 5,637.38, 7,779.95 and 3,153.38 is: 4,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.38 : 7,779.95 = 3,153.38 : x
  2. Step 2: Convert to fraction form
    5,637.38/7,779.95 = 3,153.38/x
  3. Step 3: Cross multiply
    5,637.38x = 7,779.95 × 3,153.38
  4. Step 4: Simplify right side
    5,637.38x = 24,533,084.06
  5. Step 5: Solve for x
    x = 24,533,084.06/5,637.38
  6. Step 6: Final answer
    x = 4,351.86

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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.