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Finding the Fourth Proportional to 3,386.93, 5,081.23 and 1,165.80

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Solution

The fourth proportional to 3,386.93, 5,081.23 and 1,165.80 is: 1,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.93 : 5,081.23 = 1,165.80 : x
  2. Step 2: Convert to fraction form
    3,386.93/5,081.23 = 1,165.80/x
  3. Step 3: Cross multiply
    3,386.93x = 5,081.23 × 1,165.80
  4. Step 4: Simplify right side
    3,386.93x = 5,923,695.02
  5. Step 5: Solve for x
    x = 5,923,695.02/3,386.93
  6. Step 6: Final answer
    x = 1,748.99

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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.