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Finding the Fourth Proportional to 4,507.64, 6,762.09 and 1,387.90

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Solution

The fourth proportional to 4,507.64, 6,762.09 and 1,387.90 is: 2,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.64 : 6,762.09 = 1,387.90 : x
  2. Step 2: Convert to fraction form
    4,507.64/6,762.09 = 1,387.90/x
  3. Step 3: Cross multiply
    4,507.64x = 6,762.09 × 1,387.90
  4. Step 4: Simplify right side
    4,507.64x = 9,385,104.71
  5. Step 5: Solve for x
    x = 9,385,104.71/4,507.64
  6. Step 6: Final answer
    x = 2,082.05

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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.