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Finding the Fourth Proportional to 5,123.04, 7,069.71 and 2,884.90

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Solution

The fourth proportional to 5,123.04, 7,069.71 and 2,884.90 is: 3,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.04 : 7,069.71 = 2,884.90 : x
  2. Step 2: Convert to fraction form
    5,123.04/7,069.71 = 2,884.90/x
  3. Step 3: Cross multiply
    5,123.04x = 7,069.71 × 2,884.90
  4. Step 4: Simplify right side
    5,123.04x = 20,395,406.38
  5. Step 5: Solve for x
    x = 20,395,406.38/5,123.04
  6. Step 6: Final answer
    x = 3,981.11

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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.