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Finding the Fourth Proportional to 5,416.02, 7,472.79 and 3,057.66

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Solution

The fourth proportional to 5,416.02, 7,472.79 and 3,057.66 is: 4,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.02 : 7,472.79 = 3,057.66 : x
  2. Step 2: Convert to fraction form
    5,416.02/7,472.79 = 3,057.66/x
  3. Step 3: Cross multiply
    5,416.02x = 7,472.79 × 3,057.66
  4. Step 4: Simplify right side
    5,416.02x = 22,849,251.07
  5. Step 5: Solve for x
    x = 22,849,251.07/5,416.02
  6. Step 6: Final answer
    x = 4,218.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.