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Finding the Fourth Proportional to 5,155.70, 7,732.69 and 1,457.09

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Solution

The fourth proportional to 5,155.70, 7,732.69 and 1,457.09 is: 2,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.70 : 7,732.69 = 1,457.09 : x
  2. Step 2: Convert to fraction form
    5,155.70/7,732.69 = 1,457.09/x
  3. Step 3: Cross multiply
    5,155.70x = 7,732.69 × 1,457.09
  4. Step 4: Simplify right side
    5,155.70x = 11,267,186.61
  5. Step 5: Solve for x
    x = 11,267,186.61/5,155.70
  6. Step 6: Final answer
    x = 2,185.38

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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.