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Finding the Fourth Proportional to 3,063.38, 4,594.44 and 871.52

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Solution

The fourth proportional to 3,063.38, 4,594.44 and 871.52 is: 1,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.38 : 4,594.44 = 871.52 : x
  2. Step 2: Convert to fraction form
    3,063.38/4,594.44 = 871.52/x
  3. Step 3: Cross multiply
    3,063.38x = 4,594.44 × 871.52
  4. Step 4: Simplify right side
    3,063.38x = 4,004,146.35
  5. Step 5: Solve for x
    x = 4,004,146.35/3,063.38
  6. Step 6: Final answer
    x = 1,307.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.