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Finding the Fourth Proportional to 3,355.53, 5,033.35 and 1,164.33

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Solution

The fourth proportional to 3,355.53, 5,033.35 and 1,164.33 is: 1,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.53 : 5,033.35 = 1,164.33 : x
  2. Step 2: Convert to fraction form
    3,355.53/5,033.35 = 1,164.33/x
  3. Step 3: Cross multiply
    3,355.53x = 5,033.35 × 1,164.33
  4. Step 4: Simplify right side
    3,355.53x = 5,860,462.00
  5. Step 5: Solve for x
    x = 5,860,462.00/3,355.53
  6. Step 6: Final answer
    x = 1,746.51

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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.