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Finding the Fourth Proportional to 3,445.86, 5,169.01 and 1,470.36

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Solution

The fourth proportional to 3,445.86, 5,169.01 and 1,470.36 is: 2,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.86 : 5,169.01 = 1,470.36 : x
  2. Step 2: Convert to fraction form
    3,445.86/5,169.01 = 1,470.36/x
  3. Step 3: Cross multiply
    3,445.86x = 5,169.01 × 1,470.36
  4. Step 4: Simplify right side
    3,445.86x = 7,600,305.54
  5. Step 5: Solve for x
    x = 7,600,305.54/3,445.86
  6. Step 6: Final answer
    x = 2,205.63

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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.