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Finding the Fourth Proportional to 4,508.53, 6,762.80 and 1,587.27

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Solution

The fourth proportional to 4,508.53, 6,762.80 and 1,587.27 is: 2,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.53 : 6,762.80 = 1,587.27 : x
  2. Step 2: Convert to fraction form
    4,508.53/6,762.80 = 1,587.27/x
  3. Step 3: Cross multiply
    4,508.53x = 6,762.80 × 1,587.27
  4. Step 4: Simplify right side
    4,508.53x = 10,734,389.56
  5. Step 5: Solve for x
    x = 10,734,389.56/4,508.53
  6. Step 6: Final answer
    x = 2,380.91

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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.