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Finding the Fourth Proportional to 3,508.68, 5,260.38 and 1,658.76

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Solution

The fourth proportional to 3,508.68, 5,260.38 and 1,658.76 is: 2,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.68 : 5,260.38 = 1,658.76 : x
  2. Step 2: Convert to fraction form
    3,508.68/5,260.38 = 1,658.76/x
  3. Step 3: Cross multiply
    3,508.68x = 5,260.38 × 1,658.76
  4. Step 4: Simplify right side
    3,508.68x = 8,725,707.93
  5. Step 5: Solve for x
    x = 8,725,707.93/3,508.68
  6. Step 6: Final answer
    x = 2,486.89

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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.