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Finding the Fourth Proportional to 5,314.08, 7,917.72 and 5,016

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Solution

The fourth proportional to 5,314.08, 7,917.72 and 5,016 is: 7,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.08 : 7,917.72 = 5,016 : x
  2. Step 2: Convert to fraction form
    5,314.08/7,917.72 = 5,016/x
  3. Step 3: Cross multiply
    5,314.08x = 7,917.72 × 5,016
  4. Step 4: Simplify right side
    5,314.08x = 39,715,283.52
  5. Step 5: Solve for x
    x = 39,715,283.52/5,314.08
  6. Step 6: Final answer
    x = 7,473.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.