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Finding the Fourth Proportional to 4,017.40, 6,029.70 and 3,470.20

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Solution

The fourth proportional to 4,017.40, 6,029.70 and 3,470.20 is: 5,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.40 : 6,029.70 = 3,470.20 : x
  2. Step 2: Convert to fraction form
    4,017.40/6,029.70 = 3,470.20/x
  3. Step 3: Cross multiply
    4,017.40x = 6,029.70 × 3,470.20
  4. Step 4: Simplify right side
    4,017.40x = 20,924,264.94
  5. Step 5: Solve for x
    x = 20,924,264.94/4,017.40
  6. Step 6: Final answer
    x = 5,208.41

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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.