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Finding the Fourth Proportional to 5,974.21, 8,282.74 and 5,642.06

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Solution

The fourth proportional to 5,974.21, 8,282.74 and 5,642.06 is: 7,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.21 : 8,282.74 = 5,642.06 : x
  2. Step 2: Convert to fraction form
    5,974.21/8,282.74 = 5,642.06/x
  3. Step 3: Cross multiply
    5,974.21x = 8,282.74 × 5,642.06
  4. Step 4: Simplify right side
    5,974.21x = 46,731,702.69
  5. Step 5: Solve for x
    x = 46,731,702.69/5,974.21
  6. Step 6: Final answer
    x = 7,822.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.