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Finding the Fourth Proportional to 5,498.57, 8,248.59 and 1,602.94

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Solution

The fourth proportional to 5,498.57, 8,248.59 and 1,602.94 is: 2,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.57 : 8,248.59 = 1,602.94 : x
  2. Step 2: Convert to fraction form
    5,498.57/8,248.59 = 1,602.94/x
  3. Step 3: Cross multiply
    5,498.57x = 8,248.59 × 1,602.94
  4. Step 4: Simplify right side
    5,498.57x = 13,221,974.23
  5. Step 5: Solve for x
    x = 13,221,974.23/5,498.57
  6. Step 6: Final answer
    x = 2,404.62

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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.