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Finding the Fourth Proportional to 4,507.47, 6,760.98 and 1,585.80

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Solution

The fourth proportional to 4,507.47, 6,760.98 and 1,585.80 is: 2,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.47 : 6,760.98 = 1,585.80 : x
  2. Step 2: Convert to fraction form
    4,507.47/6,760.98 = 1,585.80/x
  3. Step 3: Cross multiply
    4,507.47x = 6,760.98 × 1,585.80
  4. Step 4: Simplify right side
    4,507.47x = 10,721,562.08
  5. Step 5: Solve for x
    x = 10,721,562.08/4,507.47
  6. Step 6: Final answer
    x = 2,378.62

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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.