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Finding the Fourth Proportional to 3,067.34, 4,599.65 and 875.57

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Solution

The fourth proportional to 3,067.34, 4,599.65 and 875.57 is: 1,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.34 : 4,599.65 = 875.57 : x
  2. Step 2: Convert to fraction form
    3,067.34/4,599.65 = 875.57/x
  3. Step 3: Cross multiply
    3,067.34x = 4,599.65 × 875.57
  4. Step 4: Simplify right side
    3,067.34x = 4,027,294.74
  5. Step 5: Solve for x
    x = 4,027,294.74/3,067.34
  6. Step 6: Final answer
    x = 1,312.96

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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.