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Finding the Fourth Proportional to 5,710.92, 7,877.70 and 3,693.42

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Solution

The fourth proportional to 5,710.92, 7,877.70 and 3,693.42 is: 5,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.92 : 7,877.70 = 3,693.42 : x
  2. Step 2: Convert to fraction form
    5,710.92/7,877.70 = 3,693.42/x
  3. Step 3: Cross multiply
    5,710.92x = 7,877.70 × 3,693.42
  4. Step 4: Simplify right side
    5,710.92x = 29,095,654.73
  5. Step 5: Solve for x
    x = 29,095,654.73/5,710.92
  6. Step 6: Final answer
    x = 5,094.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.