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Finding the Fourth Proportional to 3,887.05, 5,828.86 and 1,113.09

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Solution

The fourth proportional to 3,887.05, 5,828.86 and 1,113.09 is: 1,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.05 : 5,828.86 = 1,113.09 : x
  2. Step 2: Convert to fraction form
    3,887.05/5,828.86 = 1,113.09/x
  3. Step 3: Cross multiply
    3,887.05x = 5,828.86 × 1,113.09
  4. Step 4: Simplify right side
    3,887.05x = 6,488,045.78
  5. Step 5: Solve for x
    x = 6,488,045.78/3,887.05
  6. Step 6: Final answer
    x = 1,669.14

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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.