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Finding the Fourth Proportional to 3,992.34, 5,510.13 and 3,046.58

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Solution

The fourth proportional to 3,992.34, 5,510.13 and 3,046.58 is: 4,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.34 : 5,510.13 = 3,046.58 : x
  2. Step 2: Convert to fraction form
    3,992.34/5,510.13 = 3,046.58/x
  3. Step 3: Cross multiply
    3,992.34x = 5,510.13 × 3,046.58
  4. Step 4: Simplify right side
    3,992.34x = 16,787,051.86
  5. Step 5: Solve for x
    x = 16,787,051.86/3,992.34
  6. Step 6: Final answer
    x = 4,204.82

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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.