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Finding the Fourth Proportional to 5,098.64, 7,647 and 1,811.78

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Solution

The fourth proportional to 5,098.64, 7,647 and 1,811.78 is: 2,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.64 : 7,647 = 1,811.78 : x
  2. Step 2: Convert to fraction form
    5,098.64/7,647 = 1,811.78/x
  3. Step 3: Cross multiply
    5,098.64x = 7,647 × 1,811.78
  4. Step 4: Simplify right side
    5,098.64x = 13,854,681.66
  5. Step 5: Solve for x
    x = 13,854,681.66/5,098.64
  6. Step 6: Final answer
    x = 2,717.33

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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.