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Finding the Fourth Proportional to 3,706.86, 5,559.56 and 3,470.42

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Solution

The fourth proportional to 3,706.86, 5,559.56 and 3,470.42 is: 5,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.86 : 5,559.56 = 3,470.42 : x
  2. Step 2: Convert to fraction form
    3,706.86/5,559.56 = 3,470.42/x
  3. Step 3: Cross multiply
    3,706.86x = 5,559.56 × 3,470.42
  4. Step 4: Simplify right side
    3,706.86x = 19,294,008.22
  5. Step 5: Solve for x
    x = 19,294,008.22/3,706.86
  6. Step 6: Final answer
    x = 5,204.95

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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.