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Finding the Fourth Proportional to 5,288.43, 7,281.43 and 4,490.10

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Solution

The fourth proportional to 5,288.43, 7,281.43 and 4,490.10 is: 6,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.43 : 7,281.43 = 4,490.10 : x
  2. Step 2: Convert to fraction form
    5,288.43/7,281.43 = 4,490.10/x
  3. Step 3: Cross multiply
    5,288.43x = 7,281.43 × 4,490.10
  4. Step 4: Simplify right side
    5,288.43x = 32,694,348.84
  5. Step 5: Solve for x
    x = 32,694,348.84/5,288.43
  6. Step 6: Final answer
    x = 6,182.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.