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Finding the Fourth Proportional to 3,730.35, 5,597.04 and 1,882

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Solution

The fourth proportional to 3,730.35, 5,597.04 and 1,882 is: 2,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.35 : 5,597.04 = 1,882 : x
  2. Step 2: Convert to fraction form
    3,730.35/5,597.04 = 1,882/x
  3. Step 3: Cross multiply
    3,730.35x = 5,597.04 × 1,882
  4. Step 4: Simplify right side
    3,730.35x = 10,533,629.28
  5. Step 5: Solve for x
    x = 10,533,629.28/3,730.35
  6. Step 6: Final answer
    x = 2,823.76

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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.