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Finding the Fourth Proportional to 3,775.29, 5,660.72 and 1,142.01

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Solution

The fourth proportional to 3,775.29, 5,660.72 and 1,142.01 is: 1,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.29 : 5,660.72 = 1,142.01 : x
  2. Step 2: Convert to fraction form
    3,775.29/5,660.72 = 1,142.01/x
  3. Step 3: Cross multiply
    3,775.29x = 5,660.72 × 1,142.01
  4. Step 4: Simplify right side
    3,775.29x = 6,464,598.85
  5. Step 5: Solve for x
    x = 6,464,598.85/3,775.29
  6. Step 6: Final answer
    x = 1,712.34

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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.