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Finding the Fourth Proportional to 5,931.71, 8,901 and 2,421.17

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Solution

The fourth proportional to 5,931.71, 8,901 and 2,421.17 is: 3,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.71 : 8,901 = 2,421.17 : x
  2. Step 2: Convert to fraction form
    5,931.71/8,901 = 2,421.17/x
  3. Step 3: Cross multiply
    5,931.71x = 8,901 × 2,421.17
  4. Step 4: Simplify right side
    5,931.71x = 21,550,789.67
  5. Step 5: Solve for x
    x = 21,550,789.67/5,931.71
  6. Step 6: Final answer
    x = 3,633.15

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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.