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Finding the Fourth Proportional to 4,343, 6,469.68 and 4,074.08

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Solution

The fourth proportional to 4,343, 6,469.68 and 4,074.08 is: 6,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343 : 6,469.68 = 4,074.08 : x
  2. Step 2: Convert to fraction form
    4,343/6,469.68 = 4,074.08/x
  3. Step 3: Cross multiply
    4,343x = 6,469.68 × 4,074.08
  4. Step 4: Simplify right side
    4,343x = 26,357,993.89
  5. Step 5: Solve for x
    x = 26,357,993.89/4,343
  6. Step 6: Final answer
    x = 6,069.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.