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Finding the Fourth Proportional to 3,953.77, 5,932.98 and 1,488.52

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Solution

The fourth proportional to 3,953.77, 5,932.98 and 1,488.52 is: 2,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.77 : 5,932.98 = 1,488.52 : x
  2. Step 2: Convert to fraction form
    3,953.77/5,932.98 = 1,488.52/x
  3. Step 3: Cross multiply
    3,953.77x = 5,932.98 × 1,488.52
  4. Step 4: Simplify right side
    3,953.77x = 8,831,359.39
  5. Step 5: Solve for x
    x = 8,831,359.39/3,953.77
  6. Step 6: Final answer
    x = 2,233.66

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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.