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Finding the Fourth Proportional to 5,077.64, 7,007.16 and 2,839.66

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Solution

The fourth proportional to 5,077.64, 7,007.16 and 2,839.66 is: 3,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.64 : 7,007.16 = 2,839.66 : x
  2. Step 2: Convert to fraction form
    5,077.64/7,007.16 = 2,839.66/x
  3. Step 3: Cross multiply
    5,077.64x = 7,007.16 × 2,839.66
  4. Step 4: Simplify right side
    5,077.64x = 19,897,929.12
  5. Step 5: Solve for x
    x = 19,897,929.12/5,077.64
  6. Step 6: Final answer
    x = 3,918.74

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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.