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Finding the Fourth Proportional to 3,365.46, 5,048.61 and 1,144.66

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Solution

The fourth proportional to 3,365.46, 5,048.61 and 1,144.66 is: 1,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.46 : 5,048.61 = 1,144.66 : x
  2. Step 2: Convert to fraction form
    3,365.46/5,048.61 = 1,144.66/x
  3. Step 3: Cross multiply
    3,365.46x = 5,048.61 × 1,144.66
  4. Step 4: Simplify right side
    3,365.46x = 5,778,941.92
  5. Step 5: Solve for x
    x = 5,778,941.92/3,365.46
  6. Step 6: Final answer
    x = 1,717.13

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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.