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Finding the Fourth Proportional to 3,114.34, 4,294.44 and 3,068.38

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Solution

The fourth proportional to 3,114.34, 4,294.44 and 3,068.38 is: 4,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.34 : 4,294.44 = 3,068.38 : x
  2. Step 2: Convert to fraction form
    3,114.34/4,294.44 = 3,068.38/x
  3. Step 3: Cross multiply
    3,114.34x = 4,294.44 × 3,068.38
  4. Step 4: Simplify right side
    3,114.34x = 13,176,973.81
  5. Step 5: Solve for x
    x = 13,176,973.81/3,114.34
  6. Step 6: Final answer
    x = 4,231.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.