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Finding the Fourth Proportional to 5,349.76, 7,416.88 and 5,054.92

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Solution

The fourth proportional to 5,349.76, 7,416.88 and 5,054.92 is: 7,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.76 : 7,416.88 = 5,054.92 : x
  2. Step 2: Convert to fraction form
    5,349.76/7,416.88 = 5,054.92/x
  3. Step 3: Cross multiply
    5,349.76x = 7,416.88 × 5,054.92
  4. Step 4: Simplify right side
    5,349.76x = 37,491,735.05
  5. Step 5: Solve for x
    x = 37,491,735.05/5,349.76
  6. Step 6: Final answer
    x = 7,008.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.