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Finding the Fourth Proportional to 4,065.96, 6,097.11 and 1,292.11

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Solution

The fourth proportional to 4,065.96, 6,097.11 and 1,292.11 is: 1,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.96 : 6,097.11 = 1,292.11 : x
  2. Step 2: Convert to fraction form
    4,065.96/6,097.11 = 1,292.11/x
  3. Step 3: Cross multiply
    4,065.96x = 6,097.11 × 1,292.11
  4. Step 4: Simplify right side
    4,065.96x = 7,878,136.80
  5. Step 5: Solve for x
    x = 7,878,136.80/4,065.96
  6. Step 6: Final answer
    x = 1,937.58

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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.