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Finding the Fourth Proportional to 3,729.36, 5,594.03 and 1,781.11

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Solution

The fourth proportional to 3,729.36, 5,594.03 and 1,781.11 is: 2,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.36 : 5,594.03 = 1,781.11 : x
  2. Step 2: Convert to fraction form
    3,729.36/5,594.03 = 1,781.11/x
  3. Step 3: Cross multiply
    3,729.36x = 5,594.03 × 1,781.11
  4. Step 4: Simplify right side
    3,729.36x = 9,963,582.77
  5. Step 5: Solve for x
    x = 9,963,582.77/3,729.36
  6. Step 6: Final answer
    x = 2,671.66

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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.