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Finding the Fourth Proportional to 4,068.65, 5,614.47 and 2,299.92

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Solution

The fourth proportional to 4,068.65, 5,614.47 and 2,299.92 is: 3,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.65 : 5,614.47 = 2,299.92 : x
  2. Step 2: Convert to fraction form
    4,068.65/5,614.47 = 2,299.92/x
  3. Step 3: Cross multiply
    4,068.65x = 5,614.47 × 2,299.92
  4. Step 4: Simplify right side
    4,068.65x = 12,912,831.84
  5. Step 5: Solve for x
    x = 12,912,831.84/4,068.65
  6. Step 6: Final answer
    x = 3,173.74

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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.