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Finding the Fourth Proportional to 5,107.38, 7,645.28 and 4,360.16

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Solution

The fourth proportional to 5,107.38, 7,645.28 and 4,360.16 is: 6,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.38 : 7,645.28 = 4,360.16 : x
  2. Step 2: Convert to fraction form
    5,107.38/7,645.28 = 4,360.16/x
  3. Step 3: Cross multiply
    5,107.38x = 7,645.28 × 4,360.16
  4. Step 4: Simplify right side
    5,107.38x = 33,334,584.02
  5. Step 5: Solve for x
    x = 33,334,584.02/5,107.38
  6. Step 6: Final answer
    x = 6,526.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.