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Finding the Fourth Proportional to 5,246.88, 7,871.15 and 1,737.01

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Solution

The fourth proportional to 5,246.88, 7,871.15 and 1,737.01 is: 2,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.88 : 7,871.15 = 1,737.01 : x
  2. Step 2: Convert to fraction form
    5,246.88/7,871.15 = 1,737.01/x
  3. Step 3: Cross multiply
    5,246.88x = 7,871.15 × 1,737.01
  4. Step 4: Simplify right side
    5,246.88x = 13,672,257.58
  5. Step 5: Solve for x
    x = 13,672,257.58/5,246.88
  6. Step 6: Final answer
    x = 2,605.79

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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.