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Finding the Fourth Proportional to 5,098.30, 7,647.46 and 1,811.39

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Solution

The fourth proportional to 5,098.30, 7,647.46 and 1,811.39 is: 2,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.30 : 7,647.46 = 1,811.39 : x
  2. Step 2: Convert to fraction form
    5,098.30/7,647.46 = 1,811.39/x
  3. Step 3: Cross multiply
    5,098.30x = 7,647.46 × 1,811.39
  4. Step 4: Simplify right side
    5,098.30x = 13,852,489.80
  5. Step 5: Solve for x
    x = 13,852,489.80/5,098.30
  6. Step 6: Final answer
    x = 2,717.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.