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Finding the Fourth Proportional to 4,864.24, 6,706.02 and 3,538

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Solution

The fourth proportional to 4,864.24, 6,706.02 and 3,538 is: 4,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.24 : 6,706.02 = 3,538 : x
  2. Step 2: Convert to fraction form
    4,864.24/6,706.02 = 3,538/x
  3. Step 3: Cross multiply
    4,864.24x = 6,706.02 × 3,538
  4. Step 4: Simplify right side
    4,864.24x = 23,725,898.76
  5. Step 5: Solve for x
    x = 23,725,898.76/4,864.24
  6. Step 6: Final answer
    x = 4,877.62

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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.