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Finding the Fourth Proportional to 5,160.38, 7,123.17 and 3,064.50

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Solution

The fourth proportional to 5,160.38, 7,123.17 and 3,064.50 is: 4,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.38 : 7,123.17 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    5,160.38/7,123.17 = 3,064.50/x
  3. Step 3: Cross multiply
    5,160.38x = 7,123.17 × 3,064.50
  4. Step 4: Simplify right side
    5,160.38x = 21,828,954.47
  5. Step 5: Solve for x
    x = 21,828,954.47/5,160.38
  6. Step 6: Final answer
    x = 4,230.11

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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.