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Finding the Fourth Proportional to 5,805.52, 8,008.14 and 5,416.72

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Solution

The fourth proportional to 5,805.52, 8,008.14 and 5,416.72 is: 7,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.52 : 8,008.14 = 5,416.72 : x
  2. Step 2: Convert to fraction form
    5,805.52/8,008.14 = 5,416.72/x
  3. Step 3: Cross multiply
    5,805.52x = 8,008.14 × 5,416.72
  4. Step 4: Simplify right side
    5,805.52x = 43,377,852.10
  5. Step 5: Solve for x
    x = 43,377,852.10/5,805.52
  6. Step 6: Final answer
    x = 7,471.83

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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.