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Finding the Fourth Proportional to 5,398.25, 8,098.52 and 1,701.54

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Solution

The fourth proportional to 5,398.25, 8,098.52 and 1,701.54 is: 2,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.25 : 8,098.52 = 1,701.54 : x
  2. Step 2: Convert to fraction form
    5,398.25/8,098.52 = 1,701.54/x
  3. Step 3: Cross multiply
    5,398.25x = 8,098.52 × 1,701.54
  4. Step 4: Simplify right side
    5,398.25x = 13,779,947.21
  5. Step 5: Solve for x
    x = 13,779,947.21/5,398.25
  6. Step 6: Final answer
    x = 2,552.67

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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.