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Finding the Fourth Proportional to 5,147.27, 7,098.03 and 4,578.32

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Solution

The fourth proportional to 5,147.27, 7,098.03 and 4,578.32 is: 6,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.27 : 7,098.03 = 4,578.32 : x
  2. Step 2: Convert to fraction form
    5,147.27/7,098.03 = 4,578.32/x
  3. Step 3: Cross multiply
    5,147.27x = 7,098.03 × 4,578.32
  4. Step 4: Simplify right side
    5,147.27x = 32,497,017.22
  5. Step 5: Solve for x
    x = 32,497,017.22/5,147.27
  6. Step 6: Final answer
    x = 6,313.45

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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.