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Finding the Fourth Proportional to 5,695.75, 8,542 and 2,408.77

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Solution

The fourth proportional to 5,695.75, 8,542 and 2,408.77 is: 3,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.75 : 8,542 = 2,408.77 : x
  2. Step 2: Convert to fraction form
    5,695.75/8,542 = 2,408.77/x
  3. Step 3: Cross multiply
    5,695.75x = 8,542 × 2,408.77
  4. Step 4: Simplify right side
    5,695.75x = 20,575,713.34
  5. Step 5: Solve for x
    x = 20,575,713.34/5,695.75
  6. Step 6: Final answer
    x = 3,612.47

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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.