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Finding the Fourth Proportional to 3,039.40, 4,116.15 and 3,039.40

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Solution

The fourth proportional to 3,039.40, 4,116.15 and 3,039.40 is: 4,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.40 : 4,116.15 = 3,039.40 : x
  2. Step 2: Convert to fraction form
    3,039.40/4,116.15 = 3,039.40/x
  3. Step 3: Cross multiply
    3,039.40x = 4,116.15 × 3,039.40
  4. Step 4: Simplify right side
    3,039.40x = 12,510,626.31
  5. Step 5: Solve for x
    x = 12,510,626.31/3,039.40
  6. Step 6: Final answer
    x = 4,116.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.