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Finding the Fourth Proportional to 3,701.62, 5,107.62 and 2,375.07

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Solution

The fourth proportional to 3,701.62, 5,107.62 and 2,375.07 is: 3,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.62 : 5,107.62 = 2,375.07 : x
  2. Step 2: Convert to fraction form
    3,701.62/5,107.62 = 2,375.07/x
  3. Step 3: Cross multiply
    3,701.62x = 5,107.62 × 2,375.07
  4. Step 4: Simplify right side
    3,701.62x = 12,130,955.03
  5. Step 5: Solve for x
    x = 12,130,955.03/3,701.62
  6. Step 6: Final answer
    x = 3,277.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.