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Finding the Fourth Proportional to 4,658.92, 6,429.04 and 2,669.56

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Solution

The fourth proportional to 4,658.92, 6,429.04 and 2,669.56 is: 3,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.92 : 6,429.04 = 2,669.56 : x
  2. Step 2: Convert to fraction form
    4,658.92/6,429.04 = 2,669.56/x
  3. Step 3: Cross multiply
    4,658.92x = 6,429.04 × 2,669.56
  4. Step 4: Simplify right side
    4,658.92x = 17,162,708.02
  5. Step 5: Solve for x
    x = 17,162,708.02/4,658.92
  6. Step 6: Final answer
    x = 3,683.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.