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Finding the Fourth Proportional to 5,139.22, 7,710.16 and 2,216.82

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Solution

The fourth proportional to 5,139.22, 7,710.16 and 2,216.82 is: 3,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.22 : 7,710.16 = 2,216.82 : x
  2. Step 2: Convert to fraction form
    5,139.22/7,710.16 = 2,216.82/x
  3. Step 3: Cross multiply
    5,139.22x = 7,710.16 × 2,216.82
  4. Step 4: Simplify right side
    5,139.22x = 17,092,036.89
  5. Step 5: Solve for x
    x = 17,092,036.89/5,139.22
  6. Step 6: Final answer
    x = 3,325.80

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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.