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Finding the Fourth Proportional to 3,411.40, 4,701.30 and 2,989

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Solution

The fourth proportional to 3,411.40, 4,701.30 and 2,989 is: 4,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.40 : 4,701.30 = 2,989 : x
  2. Step 2: Convert to fraction form
    3,411.40/4,701.30 = 2,989/x
  3. Step 3: Cross multiply
    3,411.40x = 4,701.30 × 2,989
  4. Step 4: Simplify right side
    3,411.40x = 14,052,185.70
  5. Step 5: Solve for x
    x = 14,052,185.70/3,411.40
  6. Step 6: Final answer
    x = 4,119.18

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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.