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Finding the Fourth Proportional to 5,062.17, 6,985.82 and 2,824.08

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Solution

The fourth proportional to 5,062.17, 6,985.82 and 2,824.08 is: 3,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.17 : 6,985.82 = 2,824.08 : x
  2. Step 2: Convert to fraction form
    5,062.17/6,985.82 = 2,824.08/x
  3. Step 3: Cross multiply
    5,062.17x = 6,985.82 × 2,824.08
  4. Step 4: Simplify right side
    5,062.17x = 19,728,500.43
  5. Step 5: Solve for x
    x = 19,728,500.43/5,062.17
  6. Step 6: Final answer
    x = 3,897.24

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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.