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Finding the Fourth Proportional to 3,597.30, 5,391.90 and 1,645.47

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Solution

The fourth proportional to 3,597.30, 5,391.90 and 1,645.47 is: 2,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.30 : 5,391.90 = 1,645.47 : x
  2. Step 2: Convert to fraction form
    3,597.30/5,391.90 = 1,645.47/x
  3. Step 3: Cross multiply
    3,597.30x = 5,391.90 × 1,645.47
  4. Step 4: Simplify right side
    3,597.30x = 8,872,209.69
  5. Step 5: Solve for x
    x = 8,872,209.69/3,597.30
  6. Step 6: Final answer
    x = 2,466.35

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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.