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Finding the Fourth Proportional to 5,159.34, 7,739.82 and 1,695.78

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Solution

The fourth proportional to 5,159.34, 7,739.82 and 1,695.78 is: 2,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.34 : 7,739.82 = 1,695.78 : x
  2. Step 2: Convert to fraction form
    5,159.34/7,739.82 = 1,695.78/x
  3. Step 3: Cross multiply
    5,159.34x = 7,739.82 × 1,695.78
  4. Step 4: Simplify right side
    5,159.34x = 13,125,031.96
  5. Step 5: Solve for x
    x = 13,125,031.96/5,159.34
  6. Step 6: Final answer
    x = 2,543.94

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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.