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Finding the Fourth Proportional to 4,013.13, 6,017.13 and 1,674.76

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Solution

The fourth proportional to 4,013.13, 6,017.13 and 1,674.76 is: 2,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.13 : 6,017.13 = 1,674.76 : x
  2. Step 2: Convert to fraction form
    4,013.13/6,017.13 = 1,674.76/x
  3. Step 3: Cross multiply
    4,013.13x = 6,017.13 × 1,674.76
  4. Step 4: Simplify right side
    4,013.13x = 10,077,248.64
  5. Step 5: Solve for x
    x = 10,077,248.64/4,013.13
  6. Step 6: Final answer
    x = 2,511.07

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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.