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Finding the Fourth Proportional to 4,470.42, 6,702.56 and 2,274.90

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Solution

The fourth proportional to 4,470.42, 6,702.56 and 2,274.90 is: 3,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.42 : 6,702.56 = 2,274.90 : x
  2. Step 2: Convert to fraction form
    4,470.42/6,702.56 = 2,274.90/x
  3. Step 3: Cross multiply
    4,470.42x = 6,702.56 × 2,274.90
  4. Step 4: Simplify right side
    4,470.42x = 15,247,653.74
  5. Step 5: Solve for x
    x = 15,247,653.74/4,470.42
  6. Step 6: Final answer
    x = 3,410.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.