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Finding the Fourth Proportional to 3,730.14, 5,595.10 and 956.82

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Solution

The fourth proportional to 3,730.14, 5,595.10 and 956.82 is: 1,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.14 : 5,595.10 = 956.82 : x
  2. Step 2: Convert to fraction form
    3,730.14/5,595.10 = 956.82/x
  3. Step 3: Cross multiply
    3,730.14x = 5,595.10 × 956.82
  4. Step 4: Simplify right side
    3,730.14x = 5,353,503.58
  5. Step 5: Solve for x
    x = 5,353,503.58/3,730.14
  6. Step 6: Final answer
    x = 1,435.20

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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.