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Finding the Fourth Proportional to 3,344.29, 5,017.29 and 1,004.20

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Solution

The fourth proportional to 3,344.29, 5,017.29 and 1,004.20 is: 1,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.29 : 5,017.29 = 1,004.20 : x
  2. Step 2: Convert to fraction form
    3,344.29/5,017.29 = 1,004.20/x
  3. Step 3: Cross multiply
    3,344.29x = 5,017.29 × 1,004.20
  4. Step 4: Simplify right side
    3,344.29x = 5,038,351.96
  5. Step 5: Solve for x
    x = 5,038,351.96/3,344.29
  6. Step 6: Final answer
    x = 1,506.55

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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.