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Finding the Fourth Proportional to 3,932.16, 5,895.84 and 1,678.08

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Solution

The fourth proportional to 3,932.16, 5,895.84 and 1,678.08 is: 2,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.16 : 5,895.84 = 1,678.08 : x
  2. Step 2: Convert to fraction form
    3,932.16/5,895.84 = 1,678.08/x
  3. Step 3: Cross multiply
    3,932.16x = 5,895.84 × 1,678.08
  4. Step 4: Simplify right side
    3,932.16x = 9,893,691.19
  5. Step 5: Solve for x
    x = 9,893,691.19/3,932.16
  6. Step 6: Final answer
    x = 2,516.10

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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.