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Finding the Fourth Proportional to 5,349.76, 7,382.16 and 4,233.48

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Solution

The fourth proportional to 5,349.76, 7,382.16 and 4,233.48 is: 5,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.76 : 7,382.16 = 4,233.48 : x
  2. Step 2: Convert to fraction form
    5,349.76/7,382.16 = 4,233.48/x
  3. Step 3: Cross multiply
    5,349.76x = 7,382.16 × 4,233.48
  4. Step 4: Simplify right side
    5,349.76x = 31,252,226.72
  5. Step 5: Solve for x
    x = 31,252,226.72/5,349.76
  6. Step 6: Final answer
    x = 5,841.80

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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.