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Finding the Fourth Proportional to 6,029.85, 9,047.85 and 2,742.51

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Solution

The fourth proportional to 6,029.85, 9,047.85 and 2,742.51 is: 4,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.85 : 9,047.85 = 2,742.51 : x
  2. Step 2: Convert to fraction form
    6,029.85/9,047.85 = 2,742.51/x
  3. Step 3: Cross multiply
    6,029.85x = 9,047.85 × 2,742.51
  4. Step 4: Simplify right side
    6,029.85x = 24,813,819.10
  5. Step 5: Solve for x
    x = 24,813,819.10/6,029.85
  6. Step 6: Final answer
    x = 4,115.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.