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Finding the Fourth Proportional to 3,952, 5,928.48 and 1,216

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Solution

The fourth proportional to 3,952, 5,928.48 and 1,216 is: 1,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952 : 5,928.48 = 1,216 : x
  2. Step 2: Convert to fraction form
    3,952/5,928.48 = 1,216/x
  3. Step 3: Cross multiply
    3,952x = 5,928.48 × 1,216
  4. Step 4: Simplify right side
    3,952x = 7,209,031.68
  5. Step 5: Solve for x
    x = 7,209,031.68/3,952
  6. Step 6: Final answer
    x = 1,824.15

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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.