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Finding the Fourth Proportional to 3,648.72, 5,473.11 and 1,702.32

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Solution

The fourth proportional to 3,648.72, 5,473.11 and 1,702.32 is: 2,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.72 : 5,473.11 = 1,702.32 : x
  2. Step 2: Convert to fraction form
    3,648.72/5,473.11 = 1,702.32/x
  3. Step 3: Cross multiply
    3,648.72x = 5,473.11 × 1,702.32
  4. Step 4: Simplify right side
    3,648.72x = 9,316,984.62
  5. Step 5: Solve for x
    x = 9,316,984.62/3,648.72
  6. Step 6: Final answer
    x = 2,553.49

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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.