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Finding the Fourth Proportional to 3,442.48, 5,167.11 and 1,594

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Solution

The fourth proportional to 3,442.48, 5,167.11 and 1,594 is: 2,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.48 : 5,167.11 = 1,594 : x
  2. Step 2: Convert to fraction form
    3,442.48/5,167.11 = 1,594/x
  3. Step 3: Cross multiply
    3,442.48x = 5,167.11 × 1,594
  4. Step 4: Simplify right side
    3,442.48x = 8,236,373.34
  5. Step 5: Solve for x
    x = 8,236,373.34/3,442.48
  6. Step 6: Final answer
    x = 2,392.57

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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.