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Finding the Fourth Proportional to 6,000.57, 8,281.70 and 3,642.26

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Solution

The fourth proportional to 6,000.57, 8,281.70 and 3,642.26 is: 5,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.57 : 8,281.70 = 3,642.26 : x
  2. Step 2: Convert to fraction form
    6,000.57/8,281.70 = 3,642.26/x
  3. Step 3: Cross multiply
    6,000.57x = 8,281.70 × 3,642.26
  4. Step 4: Simplify right side
    6,000.57x = 30,164,045.02
  5. Step 5: Solve for x
    x = 30,164,045.02/6,000.57
  6. Step 6: Final answer
    x = 5,026.86

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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.