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Finding the Fourth Proportional to 3,470.15, 5,204.28 and 1,521.88

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Solution

The fourth proportional to 3,470.15, 5,204.28 and 1,521.88 is: 2,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.15 : 5,204.28 = 1,521.88 : x
  2. Step 2: Convert to fraction form
    3,470.15/5,204.28 = 1,521.88/x
  3. Step 3: Cross multiply
    3,470.15x = 5,204.28 × 1,521.88
  4. Step 4: Simplify right side
    3,470.15x = 7,920,289.65
  5. Step 5: Solve for x
    x = 7,920,289.65/3,470.15
  6. Step 6: Final answer
    x = 2,282.41

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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.