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Finding the Fourth Proportional to 5,056.29, 6,978.08 and 2,932.40

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Solution

The fourth proportional to 5,056.29, 6,978.08 and 2,932.40 is: 4,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.29 : 6,978.08 = 2,932.40 : x
  2. Step 2: Convert to fraction form
    5,056.29/6,978.08 = 2,932.40/x
  3. Step 3: Cross multiply
    5,056.29x = 6,978.08 × 2,932.40
  4. Step 4: Simplify right side
    5,056.29x = 20,462,546.57
  5. Step 5: Solve for x
    x = 20,462,546.57/5,056.29
  6. Step 6: Final answer
    x = 4,046.95

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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.