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Finding the Fourth Proportional to 4,537.72, 6,805.14 and 1,459

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Solution

The fourth proportional to 4,537.72, 6,805.14 and 1,459 is: 2,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.72 : 6,805.14 = 1,459 : x
  2. Step 2: Convert to fraction form
    4,537.72/6,805.14 = 1,459/x
  3. Step 3: Cross multiply
    4,537.72x = 6,805.14 × 1,459
  4. Step 4: Simplify right side
    4,537.72x = 9,928,699.26
  5. Step 5: Solve for x
    x = 9,928,699.26/4,537.72
  6. Step 6: Final answer
    x = 2,188.04

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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.