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Finding the Fourth Proportional to 5,865.50, 8,095.36 and 3,382.94

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Solution

The fourth proportional to 5,865.50, 8,095.36 and 3,382.94 is: 4,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.50 : 8,095.36 = 3,382.94 : x
  2. Step 2: Convert to fraction form
    5,865.50/8,095.36 = 3,382.94/x
  3. Step 3: Cross multiply
    5,865.50x = 8,095.36 × 3,382.94
  4. Step 4: Simplify right side
    5,865.50x = 27,386,117.16
  5. Step 5: Solve for x
    x = 27,386,117.16/5,865.50
  6. Step 6: Final answer
    x = 4,669.02

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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.