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Finding the Fourth Proportional to 5,261.96, 7,892.96 and 1,564.22

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Solution

The fourth proportional to 5,261.96, 7,892.96 and 1,564.22 is: 2,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.96 : 7,892.96 = 1,564.22 : x
  2. Step 2: Convert to fraction form
    5,261.96/7,892.96 = 1,564.22/x
  3. Step 3: Cross multiply
    5,261.96x = 7,892.96 × 1,564.22
  4. Step 4: Simplify right side
    5,261.96x = 12,346,278.61
  5. Step 5: Solve for x
    x = 12,346,278.61/5,261.96
  6. Step 6: Final answer
    x = 2,346.33

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Similar ratio
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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.