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Finding the Fourth Proportional to 5,165.38, 7,130.08 and 3,069.50

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Solution

The fourth proportional to 5,165.38, 7,130.08 and 3,069.50 is: 4,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.38 : 7,130.08 = 3,069.50 : x
  2. Step 2: Convert to fraction form
    5,165.38/7,130.08 = 3,069.50/x
  3. Step 3: Cross multiply
    5,165.38x = 7,130.08 × 3,069.50
  4. Step 4: Simplify right side
    5,165.38x = 21,885,780.56
  5. Step 5: Solve for x
    x = 21,885,780.56/5,165.38
  6. Step 6: Final answer
    x = 4,237.01

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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.