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Finding the Fourth Proportional to 3,764.64, 5,644.62 and 1,570.68

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Solution

The fourth proportional to 3,764.64, 5,644.62 and 1,570.68 is: 2,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.64 : 5,644.62 = 1,570.68 : x
  2. Step 2: Convert to fraction form
    3,764.64/5,644.62 = 1,570.68/x
  3. Step 3: Cross multiply
    3,764.64x = 5,644.62 × 1,570.68
  4. Step 4: Simplify right side
    3,764.64x = 8,865,891.74
  5. Step 5: Solve for x
    x = 8,865,891.74/3,764.64
  6. Step 6: Final answer
    x = 2,355.04

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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.