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Finding the Fourth Proportional to 3,805.76, 5,708.63 and 2,506.92

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Solution

The fourth proportional to 3,805.76, 5,708.63 and 2,506.92 is: 3,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.76 : 5,708.63 = 2,506.92 : x
  2. Step 2: Convert to fraction form
    3,805.76/5,708.63 = 2,506.92/x
  3. Step 3: Cross multiply
    3,805.76x = 5,708.63 × 2,506.92
  4. Step 4: Simplify right side
    3,805.76x = 14,311,084.99
  5. Step 5: Solve for x
    x = 14,311,084.99/3,805.76
  6. Step 6: Final answer
    x = 3,760.38

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1.5x scale

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.