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Finding the Fourth Proportional to 4,965.52, 6,844.80 and 3,915.76

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Solution

The fourth proportional to 4,965.52, 6,844.80 and 3,915.76 is: 5,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.52 : 6,844.80 = 3,915.76 : x
  2. Step 2: Convert to fraction form
    4,965.52/6,844.80 = 3,915.76/x
  3. Step 3: Cross multiply
    4,965.52x = 6,844.80 × 3,915.76
  4. Step 4: Simplify right side
    4,965.52x = 26,802,594.05
  5. Step 5: Solve for x
    x = 26,802,594.05/4,965.52
  6. Step 6: Final answer
    x = 5,397.74

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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.