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Finding the Fourth Proportional to 5,057.66, 7,580.52 and 2,281.07

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Solution

The fourth proportional to 5,057.66, 7,580.52 and 2,281.07 is: 3,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.66 : 7,580.52 = 2,281.07 : x
  2. Step 2: Convert to fraction form
    5,057.66/7,580.52 = 2,281.07/x
  3. Step 3: Cross multiply
    5,057.66x = 7,580.52 × 2,281.07
  4. Step 4: Simplify right side
    5,057.66x = 17,291,658.85
  5. Step 5: Solve for x
    x = 17,291,658.85/5,057.66
  6. Step 6: Final answer
    x = 3,418.91

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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.