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Finding the Fourth Proportional to 5,302.87, 7,315.45 and 3,177.38

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Solution

The fourth proportional to 5,302.87, 7,315.45 and 3,177.38 is: 4,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.87 : 7,315.45 = 3,177.38 : x
  2. Step 2: Convert to fraction form
    5,302.87/7,315.45 = 3,177.38/x
  3. Step 3: Cross multiply
    5,302.87x = 7,315.45 × 3,177.38
  4. Step 4: Simplify right side
    5,302.87x = 23,243,974.87
  5. Step 5: Solve for x
    x = 23,243,974.87/5,302.87
  6. Step 6: Final answer
    x = 4,383.28

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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.