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Finding the Fourth Proportional to 3,200.95, 4,416.09 and 2,363.65

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Solution

The fourth proportional to 3,200.95, 4,416.09 and 2,363.65 is: 3,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.95 : 4,416.09 = 2,363.65 : x
  2. Step 2: Convert to fraction form
    3,200.95/4,416.09 = 2,363.65/x
  3. Step 3: Cross multiply
    3,200.95x = 4,416.09 × 2,363.65
  4. Step 4: Simplify right side
    3,200.95x = 10,438,071.22
  5. Step 5: Solve for x
    x = 10,438,071.22/3,200.95
  6. Step 6: Final answer
    x = 3,260.93

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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.