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Finding the Fourth Proportional to 3,415.42, 4,707.80 and 2,551.68

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Solution

The fourth proportional to 3,415.42, 4,707.80 and 2,551.68 is: 3,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.42 : 4,707.80 = 2,551.68 : x
  2. Step 2: Convert to fraction form
    3,415.42/4,707.80 = 2,551.68/x
  3. Step 3: Cross multiply
    3,415.42x = 4,707.80 × 2,551.68
  4. Step 4: Simplify right side
    3,415.42x = 12,012,799.10
  5. Step 5: Solve for x
    x = 12,012,799.10/3,415.42
  6. Step 6: Final answer
    x = 3,517.22

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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.