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Finding the Fourth Proportional to 3,746.34, 5,168.88 and 2,567.79

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Solution

The fourth proportional to 3,746.34, 5,168.88 and 2,567.79 is: 3,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.34 : 5,168.88 = 2,567.79 : x
  2. Step 2: Convert to fraction form
    3,746.34/5,168.88 = 2,567.79/x
  3. Step 3: Cross multiply
    3,746.34x = 5,168.88 × 2,567.79
  4. Step 4: Simplify right side
    3,746.34x = 13,272,598.38
  5. Step 5: Solve for x
    x = 13,272,598.38/3,746.34
  6. Step 6: Final answer
    x = 3,542.82

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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.