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Finding the Fourth Proportional to 5,123.38, 7,068.10 and 3,133.30

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Solution

The fourth proportional to 5,123.38, 7,068.10 and 3,133.30 is: 4,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.38 : 7,068.10 = 3,133.30 : x
  2. Step 2: Convert to fraction form
    5,123.38/7,068.10 = 3,133.30/x
  3. Step 3: Cross multiply
    5,123.38x = 7,068.10 × 3,133.30
  4. Step 4: Simplify right side
    5,123.38x = 22,146,477.73
  5. Step 5: Solve for x
    x = 22,146,477.73/5,123.38
  6. Step 6: Final answer
    x = 4,322.63

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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.