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Finding the Fourth Proportional to 3,654.59, 5,482.17 and 1,314.90

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Solution

The fourth proportional to 3,654.59, 5,482.17 and 1,314.90 is: 1,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.59 : 5,482.17 = 1,314.90 : x
  2. Step 2: Convert to fraction form
    3,654.59/5,482.17 = 1,314.90/x
  3. Step 3: Cross multiply
    3,654.59x = 5,482.17 × 1,314.90
  4. Step 4: Simplify right side
    3,654.59x = 7,208,505.33
  5. Step 5: Solve for x
    x = 7,208,505.33/3,654.59
  6. Step 6: Final answer
    x = 1,972.45

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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.