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Finding the Fourth Proportional to 4,170.87, 5,755.86 and 2,307.87

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Solution

The fourth proportional to 4,170.87, 5,755.86 and 2,307.87 is: 3,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.87 : 5,755.86 = 2,307.87 : x
  2. Step 2: Convert to fraction form
    4,170.87/5,755.86 = 2,307.87/x
  3. Step 3: Cross multiply
    4,170.87x = 5,755.86 × 2,307.87
  4. Step 4: Simplify right side
    4,170.87x = 13,283,776.62
  5. Step 5: Solve for x
    x = 13,283,776.62/4,170.87
  6. Step 6: Final answer
    x = 3,184.89

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1.5x scale

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.