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Finding the Fourth Proportional to 3,355.99, 5,034.56 and 1,164.13

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Solution

The fourth proportional to 3,355.99, 5,034.56 and 1,164.13 is: 1,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.99 : 5,034.56 = 1,164.13 : x
  2. Step 2: Convert to fraction form
    3,355.99/5,034.56 = 1,164.13/x
  3. Step 3: Cross multiply
    3,355.99x = 5,034.56 × 1,164.13
  4. Step 4: Simplify right side
    3,355.99x = 5,860,863.93
  5. Step 5: Solve for x
    x = 5,860,863.93/3,355.99
  6. Step 6: Final answer
    x = 1,746.39

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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.