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Finding the Fourth Proportional to 5,098.92, 7,648.88 and 1,811.25

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Solution

The fourth proportional to 5,098.92, 7,648.88 and 1,811.25 is: 2,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.92 : 7,648.88 = 1,811.25 : x
  2. Step 2: Convert to fraction form
    5,098.92/7,648.88 = 1,811.25/x
  3. Step 3: Cross multiply
    5,098.92x = 7,648.88 × 1,811.25
  4. Step 4: Simplify right side
    5,098.92x = 13,854,024.84
  5. Step 5: Solve for x
    x = 13,854,024.84/5,098.92
  6. Step 6: Final answer
    x = 2,717.05

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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.