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Finding the Fourth Proportional to 5,062.24, 6,985.92 and 2,824.26

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Solution

The fourth proportional to 5,062.24, 6,985.92 and 2,824.26 is: 3,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.24 : 6,985.92 = 2,824.26 : x
  2. Step 2: Convert to fraction form
    5,062.24/6,985.92 = 2,824.26/x
  3. Step 3: Cross multiply
    5,062.24x = 6,985.92 × 2,824.26
  4. Step 4: Simplify right side
    5,062.24x = 19,730,054.42
  5. Step 5: Solve for x
    x = 19,730,054.42/5,062.24
  6. Step 6: Final answer
    x = 3,897.49

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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.