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Finding the Fourth Proportional to 5,291.88, 7,937.82 and 3,643.46

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Solution

The fourth proportional to 5,291.88, 7,937.82 and 3,643.46 is: 5,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.88 : 7,937.82 = 3,643.46 : x
  2. Step 2: Convert to fraction form
    5,291.88/7,937.82 = 3,643.46/x
  3. Step 3: Cross multiply
    5,291.88x = 7,937.82 × 3,643.46
  4. Step 4: Simplify right side
    5,291.88x = 28,921,149.50
  5. Step 5: Solve for x
    x = 28,921,149.50/5,291.88
  6. Step 6: Final answer
    x = 5,465.19

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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.