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Finding the Fourth Proportional to 6,572.08, 9,855.76 and 2,188.36

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Solution

The fourth proportional to 6,572.08, 9,855.76 and 2,188.36 is: 3,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.08 : 9,855.76 = 2,188.36 : x
  2. Step 2: Convert to fraction form
    6,572.08/9,855.76 = 2,188.36/x
  3. Step 3: Cross multiply
    6,572.08x = 9,855.76 × 2,188.36
  4. Step 4: Simplify right side
    6,572.08x = 21,567,950.95
  5. Step 5: Solve for x
    x = 21,567,950.95/6,572.08
  6. Step 6: Final answer
    x = 3,281.75

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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.