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Finding the Fourth Proportional to 4,751.46, 7,125.57 and 1,829.52

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Solution

The fourth proportional to 4,751.46, 7,125.57 and 1,829.52 is: 2,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.46 : 7,125.57 = 1,829.52 : x
  2. Step 2: Convert to fraction form
    4,751.46/7,125.57 = 1,829.52/x
  3. Step 3: Cross multiply
    4,751.46x = 7,125.57 × 1,829.52
  4. Step 4: Simplify right side
    4,751.46x = 13,036,372.83
  5. Step 5: Solve for x
    x = 13,036,372.83/4,751.46
  6. Step 6: Final answer
    x = 2,743.66

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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.