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Finding the Fourth Proportional to 2,947.07, 4,062.06 and 2,527.90

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Solution

The fourth proportional to 2,947.07, 4,062.06 and 2,527.90 is: 3,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.07 : 4,062.06 = 2,527.90 : x
  2. Step 2: Convert to fraction form
    2,947.07/4,062.06 = 2,527.90/x
  3. Step 3: Cross multiply
    2,947.07x = 4,062.06 × 2,527.90
  4. Step 4: Simplify right side
    2,947.07x = 10,268,481.47
  5. Step 5: Solve for x
    x = 10,268,481.47/2,947.07
  6. Step 6: Final answer
    x = 3,484.30

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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.