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Finding the Fourth Proportional to 3,417.66, 4,716.42 and 2,002.32

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Solution

The fourth proportional to 3,417.66, 4,716.42 and 2,002.32 is: 2,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.66 : 4,716.42 = 2,002.32 : x
  2. Step 2: Convert to fraction form
    3,417.66/4,716.42 = 2,002.32/x
  3. Step 3: Cross multiply
    3,417.66x = 4,716.42 × 2,002.32
  4. Step 4: Simplify right side
    3,417.66x = 9,443,782.09
  5. Step 5: Solve for x
    x = 9,443,782.09/3,417.66
  6. Step 6: Final answer
    x = 2,763.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.