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Finding the Fourth Proportional to 5,886.91, 8,124.20 and 3,529

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Solution

The fourth proportional to 5,886.91, 8,124.20 and 3,529 is: 4,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.91 : 8,124.20 = 3,529 : x
  2. Step 2: Convert to fraction form
    5,886.91/8,124.20 = 3,529/x
  3. Step 3: Cross multiply
    5,886.91x = 8,124.20 × 3,529
  4. Step 4: Simplify right side
    5,886.91x = 28,670,301.80
  5. Step 5: Solve for x
    x = 28,670,301.80/5,886.91
  6. Step 6: Final answer
    x = 4,870.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.