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Finding the Fourth Proportional to 3,417.95, 4,716.83 and 2,002.47

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Solution

The fourth proportional to 3,417.95, 4,716.83 and 2,002.47 is: 2,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.95 : 4,716.83 = 2,002.47 : x
  2. Step 2: Convert to fraction form
    3,417.95/4,716.83 = 2,002.47/x
  3. Step 3: Cross multiply
    3,417.95x = 4,716.83 × 2,002.47
  4. Step 4: Simplify right side
    3,417.95x = 9,445,300.56
  5. Step 5: Solve for x
    x = 9,445,300.56/3,417.95
  6. Step 6: Final answer
    x = 2,763.44

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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.