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Finding the Fourth Proportional to 5,210.39, 7,806.45 and 4,338.49

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Solution

The fourth proportional to 5,210.39, 7,806.45 and 4,338.49 is: 6,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.39 : 7,806.45 = 4,338.49 : x
  2. Step 2: Convert to fraction form
    5,210.39/7,806.45 = 4,338.49/x
  3. Step 3: Cross multiply
    5,210.39x = 7,806.45 × 4,338.49
  4. Step 4: Simplify right side
    5,210.39x = 33,868,205.26
  5. Step 5: Solve for x
    x = 33,868,205.26/5,210.39
  6. Step 6: Final answer
    x = 6,500.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.