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Finding the Fourth Proportional to 3,419.64, 5,129.49 and 1,111.14

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Solution

The fourth proportional to 3,419.64, 5,129.49 and 1,111.14 is: 1,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.64 : 5,129.49 = 1,111.14 : x
  2. Step 2: Convert to fraction form
    3,419.64/5,129.49 = 1,111.14/x
  3. Step 3: Cross multiply
    3,419.64x = 5,129.49 × 1,111.14
  4. Step 4: Simplify right side
    3,419.64x = 5,699,581.52
  5. Step 5: Solve for x
    x = 5,699,581.52/3,419.64
  6. Step 6: Final answer
    x = 1,666.72

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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.