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Finding the Fourth Proportional to 3,949.68, 5,925.13 and 1,484.67

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Solution

The fourth proportional to 3,949.68, 5,925.13 and 1,484.67 is: 2,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.68 : 5,925.13 = 1,484.67 : x
  2. Step 2: Convert to fraction form
    3,949.68/5,925.13 = 1,484.67/x
  3. Step 3: Cross multiply
    3,949.68x = 5,925.13 × 1,484.67
  4. Step 4: Simplify right side
    3,949.68x = 8,796,886.83
  5. Step 5: Solve for x
    x = 8,796,886.83/3,949.68
  6. Step 6: Final answer
    x = 2,227.24

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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.