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Finding the Fourth Proportional to 3,470.88, 4,790.70 and 2,275.32

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Solution

The fourth proportional to 3,470.88, 4,790.70 and 2,275.32 is: 3,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.88 : 4,790.70 = 2,275.32 : x
  2. Step 2: Convert to fraction form
    3,470.88/4,790.70 = 2,275.32/x
  3. Step 3: Cross multiply
    3,470.88x = 4,790.70 × 2,275.32
  4. Step 4: Simplify right side
    3,470.88x = 10,900,375.52
  5. Step 5: Solve for x
    x = 10,900,375.52/3,470.88
  6. Step 6: Final answer
    x = 3,140.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.