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Finding the Fourth Proportional to 5,070.28, 7,605.72 and 2,438.32

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Solution

The fourth proportional to 5,070.28, 7,605.72 and 2,438.32 is: 3,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.28 : 7,605.72 = 2,438.32 : x
  2. Step 2: Convert to fraction form
    5,070.28/7,605.72 = 2,438.32/x
  3. Step 3: Cross multiply
    5,070.28x = 7,605.72 × 2,438.32
  4. Step 4: Simplify right side
    5,070.28x = 18,545,160.18
  5. Step 5: Solve for x
    x = 18,545,160.18/5,070.28
  6. Step 6: Final answer
    x = 3,657.62

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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.