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Finding the Fourth Proportional to 4,411.52, 6,603.24 and 2,457.80

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Solution

The fourth proportional to 4,411.52, 6,603.24 and 2,457.80 is: 3,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.52 : 6,603.24 = 2,457.80 : x
  2. Step 2: Convert to fraction form
    4,411.52/6,603.24 = 2,457.80/x
  3. Step 3: Cross multiply
    4,411.52x = 6,603.24 × 2,457.80
  4. Step 4: Simplify right side
    4,411.52x = 16,229,443.27
  5. Step 5: Solve for x
    x = 16,229,443.27/4,411.52
  6. Step 6: Final answer
    x = 3,678.88

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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.