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Finding the Fourth Proportional to 3,445.59, 5,167.17 and 1,596.36

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Solution

The fourth proportional to 3,445.59, 5,167.17 and 1,596.36 is: 2,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.59 : 5,167.17 = 1,596.36 : x
  2. Step 2: Convert to fraction form
    3,445.59/5,167.17 = 1,596.36/x
  3. Step 3: Cross multiply
    3,445.59x = 5,167.17 × 1,596.36
  4. Step 4: Simplify right side
    3,445.59x = 8,248,663.50
  5. Step 5: Solve for x
    x = 8,248,663.50/3,445.59
  6. Step 6: Final answer
    x = 2,393.98

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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.