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Finding the Fourth Proportional to 3,775.82, 5,663.78 and 1,310.71

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Solution

The fourth proportional to 3,775.82, 5,663.78 and 1,310.71 is: 1,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.82 : 5,663.78 = 1,310.71 : x
  2. Step 2: Convert to fraction form
    3,775.82/5,663.78 = 1,310.71/x
  3. Step 3: Cross multiply
    3,775.82x = 5,663.78 × 1,310.71
  4. Step 4: Simplify right side
    3,775.82x = 7,423,567.91
  5. Step 5: Solve for x
    x = 7,423,567.91/3,775.82
  6. Step 6: Final answer
    x = 1,966.08

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