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Finding the Fourth Proportional to 5,213.76, 7,188.71 and 4,148.27

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Solution

The fourth proportional to 5,213.76, 7,188.71 and 4,148.27 is: 5,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.76 : 7,188.71 = 4,148.27 : x
  2. Step 2: Convert to fraction form
    5,213.76/7,188.71 = 4,148.27/x
  3. Step 3: Cross multiply
    5,213.76x = 7,188.71 × 4,148.27
  4. Step 4: Simplify right side
    5,213.76x = 29,820,710.03
  5. Step 5: Solve for x
    x = 29,820,710.03/5,213.76
  6. Step 6: Final answer
    x = 5,719.62

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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.