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Finding the Fourth Proportional to 5,261.79, 7,892.61 and 1,513.66

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Solution

The fourth proportional to 5,261.79, 7,892.61 and 1,513.66 is: 2,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.79 : 7,892.61 = 1,513.66 : x
  2. Step 2: Convert to fraction form
    5,261.79/7,892.61 = 1,513.66/x
  3. Step 3: Cross multiply
    5,261.79x = 7,892.61 × 1,513.66
  4. Step 4: Simplify right side
    5,261.79x = 11,946,708.32
  5. Step 5: Solve for x
    x = 11,946,708.32/5,261.79
  6. Step 6: Final answer
    x = 2,270.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.