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Finding the Fourth Proportional to 4,566.38, 6,312.32 and 3,251.45

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Solution

The fourth proportional to 4,566.38, 6,312.32 and 3,251.45 is: 4,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.38 : 6,312.32 = 3,251.45 : x
  2. Step 2: Convert to fraction form
    4,566.38/6,312.32 = 3,251.45/x
  3. Step 3: Cross multiply
    4,566.38x = 6,312.32 × 3,251.45
  4. Step 4: Simplify right side
    4,566.38x = 20,524,187.36
  5. Step 5: Solve for x
    x = 20,524,187.36/4,566.38
  6. Step 6: Final answer
    x = 4,494.63

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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.