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Finding the Fourth Proportional to 3,866.32, 5,795.70 and 2,564.92

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Solution

The fourth proportional to 3,866.32, 5,795.70 and 2,564.92 is: 3,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.32 : 5,795.70 = 2,564.92 : x
  2. Step 2: Convert to fraction form
    3,866.32/5,795.70 = 2,564.92/x
  3. Step 3: Cross multiply
    3,866.32x = 5,795.70 × 2,564.92
  4. Step 4: Simplify right side
    3,866.32x = 14,865,506.84
  5. Step 5: Solve for x
    x = 14,865,506.84/3,866.32
  6. Step 6: Final answer
    x = 3,844.87

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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.