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Finding the Fourth Proportional to 3,654.59, 5,481.95 and 1,057.50

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Solution

The fourth proportional to 3,654.59, 5,481.95 and 1,057.50 is: 1,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.59 : 5,481.95 = 1,057.50 : x
  2. Step 2: Convert to fraction form
    3,654.59/5,481.95 = 1,057.50/x
  3. Step 3: Cross multiply
    3,654.59x = 5,481.95 × 1,057.50
  4. Step 4: Simplify right side
    3,654.59x = 5,797,156.84
  5. Step 5: Solve for x
    x = 5,797,156.84/3,654.59
  6. Step 6: Final answer
    x = 1,586.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.