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Finding the Fourth Proportional to 4,068.84, 6,104.40 and 1,147.16

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Solution

The fourth proportional to 4,068.84, 6,104.40 and 1,147.16 is: 1,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.84 : 6,104.40 = 1,147.16 : x
  2. Step 2: Convert to fraction form
    4,068.84/6,104.40 = 1,147.16/x
  3. Step 3: Cross multiply
    4,068.84x = 6,104.40 × 1,147.16
  4. Step 4: Simplify right side
    4,068.84x = 7,002,723.50
  5. Step 5: Solve for x
    x = 7,002,723.50/4,068.84
  6. Step 6: Final answer
    x = 1,721.06

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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.