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Finding the Fourth Proportional to 6,429.08, 8,870.70 and 3,912.50

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Solution

The fourth proportional to 6,429.08, 8,870.70 and 3,912.50 is: 5,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.08 : 8,870.70 = 3,912.50 : x
  2. Step 2: Convert to fraction form
    6,429.08/8,870.70 = 3,912.50/x
  3. Step 3: Cross multiply
    6,429.08x = 8,870.70 × 3,912.50
  4. Step 4: Simplify right side
    6,429.08x = 34,706,613.75
  5. Step 5: Solve for x
    x = 34,706,613.75/6,429.08
  6. Step 6: Final answer
    x = 5,398.38

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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.