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Finding the Fourth Proportional to 5,398.75, 8,098.42 and 1,701.27

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Solution

The fourth proportional to 5,398.75, 8,098.42 and 1,701.27 is: 2,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.75 : 8,098.42 = 1,701.27 : x
  2. Step 2: Convert to fraction form
    5,398.75/8,098.42 = 1,701.27/x
  3. Step 3: Cross multiply
    5,398.75x = 8,098.42 × 1,701.27
  4. Step 4: Simplify right side
    5,398.75x = 13,777,602.71
  5. Step 5: Solve for x
    x = 13,777,602.71/5,398.75
  6. Step 6: Final answer
    x = 2,552.00

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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.