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Finding the Fourth Proportional to 3,426.68, 5,115.22 and 3,011.50

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Solution

The fourth proportional to 3,426.68, 5,115.22 and 3,011.50 is: 4,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.68 : 5,115.22 = 3,011.50 : x
  2. Step 2: Convert to fraction form
    3,426.68/5,115.22 = 3,011.50/x
  3. Step 3: Cross multiply
    3,426.68x = 5,115.22 × 3,011.50
  4. Step 4: Simplify right side
    3,426.68x = 15,404,444.40
  5. Step 5: Solve for x
    x = 15,404,444.40/3,426.68
  6. Step 6: Final answer
    x = 4,495.45

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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.