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Finding the Fourth Proportional to 3,645.90, 5,472.90 and 2,002.50

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Solution

The fourth proportional to 3,645.90, 5,472.90 and 2,002.50 is: 3,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.90 : 5,472.90 = 2,002.50 : x
  2. Step 2: Convert to fraction form
    3,645.90/5,472.90 = 2,002.50/x
  3. Step 3: Cross multiply
    3,645.90x = 5,472.90 × 2,002.50
  4. Step 4: Simplify right side
    3,645.90x = 10,959,482.25
  5. Step 5: Solve for x
    x = 10,959,482.25/3,645.90
  6. Step 6: Final answer
    x = 3,005.97

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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.