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Finding the Fourth Proportional to 6,315.39, 8,715.30 and 3,482.87

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Solution

The fourth proportional to 6,315.39, 8,715.30 and 3,482.87 is: 4,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.39 : 8,715.30 = 3,482.87 : x
  2. Step 2: Convert to fraction form
    6,315.39/8,715.30 = 3,482.87/x
  3. Step 3: Cross multiply
    6,315.39x = 8,715.30 × 3,482.87
  4. Step 4: Simplify right side
    6,315.39x = 30,354,213.33
  5. Step 5: Solve for x
    x = 30,354,213.33/6,315.39
  6. Step 6: Final answer
    x = 4,806.39

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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.