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Finding the Fourth Proportional to 4,507.08, 6,757.56 and 1,585

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Solution

The fourth proportional to 4,507.08, 6,757.56 and 1,585 is: 2,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.08 : 6,757.56 = 1,585 : x
  2. Step 2: Convert to fraction form
    4,507.08/6,757.56 = 1,585/x
  3. Step 3: Cross multiply
    4,507.08x = 6,757.56 × 1,585
  4. Step 4: Simplify right side
    4,507.08x = 10,710,732.60
  5. Step 5: Solve for x
    x = 10,710,732.60/4,507.08
  6. Step 6: Final answer
    x = 2,376.42

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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.