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Finding the Fourth Proportional to 5,127.64, 7,076.82 and 2,890

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Solution

The fourth proportional to 5,127.64, 7,076.82 and 2,890 is: 3,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.64 : 7,076.82 = 2,890 : x
  2. Step 2: Convert to fraction form
    5,127.64/7,076.82 = 2,890/x
  3. Step 3: Cross multiply
    5,127.64x = 7,076.82 × 2,890
  4. Step 4: Simplify right side
    5,127.64x = 20,452,009.80
  5. Step 5: Solve for x
    x = 20,452,009.80/5,127.64
  6. Step 6: Final answer
    x = 3,988.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.