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Finding the Fourth Proportional to 5,262.26, 7,892.78 and 1,564.47

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Solution

The fourth proportional to 5,262.26, 7,892.78 and 1,564.47 is: 2,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.26 : 7,892.78 = 1,564.47 : x
  2. Step 2: Convert to fraction form
    5,262.26/7,892.78 = 1,564.47/x
  3. Step 3: Cross multiply
    5,262.26x = 7,892.78 × 1,564.47
  4. Step 4: Simplify right side
    5,262.26x = 12,348,009.70
  5. Step 5: Solve for x
    x = 12,348,009.70/5,262.26
  6. Step 6: Final answer
    x = 2,346.52

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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.