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Finding the Fourth Proportional to 4,462.43, 6,158.03 and 2,472.93

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Solution

The fourth proportional to 4,462.43, 6,158.03 and 2,472.93 is: 3,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.43 : 6,158.03 = 2,472.93 : x
  2. Step 2: Convert to fraction form
    4,462.43/6,158.03 = 2,472.93/x
  3. Step 3: Cross multiply
    4,462.43x = 6,158.03 × 2,472.93
  4. Step 4: Simplify right side
    4,462.43x = 15,228,364.76
  5. Step 5: Solve for x
    x = 15,228,364.76/4,462.43
  6. Step 6: Final answer
    x = 3,412.58

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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.