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Finding the Fourth Proportional to 5,645.46, 8,470.05 and 2,359.49

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Solution

The fourth proportional to 5,645.46, 8,470.05 and 2,359.49 is: 3,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.46 : 8,470.05 = 2,359.49 : x
  2. Step 2: Convert to fraction form
    5,645.46/8,470.05 = 2,359.49/x
  3. Step 3: Cross multiply
    5,645.46x = 8,470.05 × 2,359.49
  4. Step 4: Simplify right side
    5,645.46x = 19,984,986.48
  5. Step 5: Solve for x
    x = 19,984,986.48/5,645.46
  6. Step 6: Final answer
    x = 3,540.01

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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.