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Finding the Fourth Proportional to 3,386.14, 5,073 and 2,343.16

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Solution

The fourth proportional to 3,386.14, 5,073 and 2,343.16 is: 3,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.14 : 5,073 = 2,343.16 : x
  2. Step 2: Convert to fraction form
    3,386.14/5,073 = 2,343.16/x
  3. Step 3: Cross multiply
    3,386.14x = 5,073 × 2,343.16
  4. Step 4: Simplify right side
    3,386.14x = 11,886,850.68
  5. Step 5: Solve for x
    x = 11,886,850.68/3,386.14
  6. Step 6: Final answer
    x = 3,510.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.