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Finding the Fourth Proportional to 4,751.87, 7,130.88 and 2,562.12

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Solution

The fourth proportional to 4,751.87, 7,130.88 and 2,562.12 is: 3,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.87 : 7,130.88 = 2,562.12 : x
  2. Step 2: Convert to fraction form
    4,751.87/7,130.88 = 2,562.12/x
  3. Step 3: Cross multiply
    4,751.87x = 7,130.88 × 2,562.12
  4. Step 4: Simplify right side
    4,751.87x = 18,270,170.27
  5. Step 5: Solve for x
    x = 18,270,170.27/4,751.87
  6. Step 6: Final answer
    x = 3,844.84

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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.