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Finding the Fourth Proportional to 4,488.93, 6,712.02 and 4,096.81

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Solution

The fourth proportional to 4,488.93, 6,712.02 and 4,096.81 is: 6,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.93 : 6,712.02 = 4,096.81 : x
  2. Step 2: Convert to fraction form
    4,488.93/6,712.02 = 4,096.81/x
  3. Step 3: Cross multiply
    4,488.93x = 6,712.02 × 4,096.81
  4. Step 4: Simplify right side
    4,488.93x = 27,497,894.41
  5. Step 5: Solve for x
    x = 27,497,894.41/4,488.93
  6. Step 6: Final answer
    x = 6,125.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.