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Finding the Fourth Proportional to 5,581.42, 7,702.10 and 3,344.52

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Solution

The fourth proportional to 5,581.42, 7,702.10 and 3,344.52 is: 4,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.42 : 7,702.10 = 3,344.52 : x
  2. Step 2: Convert to fraction form
    5,581.42/7,702.10 = 3,344.52/x
  3. Step 3: Cross multiply
    5,581.42x = 7,702.10 × 3,344.52
  4. Step 4: Simplify right side
    5,581.42x = 25,759,827.49
  5. Step 5: Solve for x
    x = 25,759,827.49/5,581.42
  6. Step 6: Final answer
    x = 4,615.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.