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Finding the Fourth Proportional to 3,334.67, 5,002.29 and 1,690.16

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Solution

The fourth proportional to 3,334.67, 5,002.29 and 1,690.16 is: 2,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.67 : 5,002.29 = 1,690.16 : x
  2. Step 2: Convert to fraction form
    3,334.67/5,002.29 = 1,690.16/x
  3. Step 3: Cross multiply
    3,334.67x = 5,002.29 × 1,690.16
  4. Step 4: Simplify right side
    3,334.67x = 8,454,645.45
  5. Step 5: Solve for x
    x = 8,454,645.45/3,334.67
  6. Step 6: Final answer
    x = 2,535.38

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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.