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Finding the Fourth Proportional to 3,931.61, 5,392.37 and 3,488.74

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Solution

The fourth proportional to 3,931.61, 5,392.37 and 3,488.74 is: 4,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.61 : 5,392.37 = 3,488.74 : x
  2. Step 2: Convert to fraction form
    3,931.61/5,392.37 = 3,488.74/x
  3. Step 3: Cross multiply
    3,931.61x = 5,392.37 × 3,488.74
  4. Step 4: Simplify right side
    3,931.61x = 18,812,576.91
  5. Step 5: Solve for x
    x = 18,812,576.91/3,931.61
  6. Step 6: Final answer
    x = 4,784.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.