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Finding the Fourth Proportional to 5,537.70, 8,308.04 and 2,417.96

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Solution

The fourth proportional to 5,537.70, 8,308.04 and 2,417.96 is: 3,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.70 : 8,308.04 = 2,417.96 : x
  2. Step 2: Convert to fraction form
    5,537.70/8,308.04 = 2,417.96/x
  3. Step 3: Cross multiply
    5,537.70x = 8,308.04 × 2,417.96
  4. Step 4: Simplify right side
    5,537.70x = 20,088,508.40
  5. Step 5: Solve for x
    x = 20,088,508.40/5,537.70
  6. Step 6: Final answer
    x = 3,627.59

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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.