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Finding the Fourth Proportional to 5,053.68, 6,966 and 3,371.76

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Solution

The fourth proportional to 5,053.68, 6,966 and 3,371.76 is: 4,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.68 : 6,966 = 3,371.76 : x
  2. Step 2: Convert to fraction form
    5,053.68/6,966 = 3,371.76/x
  3. Step 3: Cross multiply
    5,053.68x = 6,966 × 3,371.76
  4. Step 4: Simplify right side
    5,053.68x = 23,487,680.16
  5. Step 5: Solve for x
    x = 23,487,680.16/5,053.68
  6. Step 6: Final answer
    x = 4,647.64

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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.