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Finding the Fourth Proportional to 6,291.12, 8,681.91 and 3,638.70

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Solution

The fourth proportional to 6,291.12, 8,681.91 and 3,638.70 is: 5,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.12 : 8,681.91 = 3,638.70 : x
  2. Step 2: Convert to fraction form
    6,291.12/8,681.91 = 3,638.70/x
  3. Step 3: Cross multiply
    6,291.12x = 8,681.91 × 3,638.70
  4. Step 4: Simplify right side
    6,291.12x = 31,590,865.92
  5. Step 5: Solve for x
    x = 31,590,865.92/6,291.12
  6. Step 6: Final answer
    x = 5,021.50

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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.