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Finding the Fourth Proportional to 4,589.70, 6,884.58 and 1,470.18

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Solution

The fourth proportional to 4,589.70, 6,884.58 and 1,470.18 is: 2,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.70 : 6,884.58 = 1,470.18 : x
  2. Step 2: Convert to fraction form
    4,589.70/6,884.58 = 1,470.18/x
  3. Step 3: Cross multiply
    4,589.70x = 6,884.58 × 1,470.18
  4. Step 4: Simplify right side
    4,589.70x = 10,121,571.82
  5. Step 5: Solve for x
    x = 10,121,571.82/4,589.70
  6. Step 6: Final answer
    x = 2,205.28

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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.