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Finding the Fourth Proportional to 3,256.39, 4,882.36 and 1,566.89

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Solution

The fourth proportional to 3,256.39, 4,882.36 and 1,566.89 is: 2,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.39 : 4,882.36 = 1,566.89 : x
  2. Step 2: Convert to fraction form
    3,256.39/4,882.36 = 1,566.89/x
  3. Step 3: Cross multiply
    3,256.39x = 4,882.36 × 1,566.89
  4. Step 4: Simplify right side
    3,256.39x = 7,650,113.23
  5. Step 5: Solve for x
    x = 7,650,113.23/3,256.39
  6. Step 6: Final answer
    x = 2,349.27

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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.