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Finding the Fourth Proportional to 3,470.16, 5,205.78 and 1,595.64

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Solution

The fourth proportional to 3,470.16, 5,205.78 and 1,595.64 is: 2,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.16 : 5,205.78 = 1,595.64 : x
  2. Step 2: Convert to fraction form
    3,470.16/5,205.78 = 1,595.64/x
  3. Step 3: Cross multiply
    3,470.16x = 5,205.78 × 1,595.64
  4. Step 4: Simplify right side
    3,470.16x = 8,306,550.80
  5. Step 5: Solve for x
    x = 8,306,550.80/3,470.16
  6. Step 6: Final answer
    x = 2,393.71

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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.