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Finding the Fourth Proportional to 5,252.40, 7,862.40 and 4,669.20

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Solution

The fourth proportional to 5,252.40, 7,862.40 and 4,669.20 is: 6,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.40 : 7,862.40 = 4,669.20 : x
  2. Step 2: Convert to fraction form
    5,252.40/7,862.40 = 4,669.20/x
  3. Step 3: Cross multiply
    5,252.40x = 7,862.40 × 4,669.20
  4. Step 4: Simplify right side
    5,252.40x = 36,711,118.08
  5. Step 5: Solve for x
    x = 36,711,118.08/5,252.40
  6. Step 6: Final answer
    x = 6,989.40

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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.