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Finding the Fourth Proportional to 3,758.84, 5,637.78 and 1,161.72

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Solution

The fourth proportional to 3,758.84, 5,637.78 and 1,161.72 is: 1,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.84 : 5,637.78 = 1,161.72 : x
  2. Step 2: Convert to fraction form
    3,758.84/5,637.78 = 1,161.72/x
  3. Step 3: Cross multiply
    3,758.84x = 5,637.78 × 1,161.72
  4. Step 4: Simplify right side
    3,758.84x = 6,549,521.78
  5. Step 5: Solve for x
    x = 6,549,521.78/3,758.84
  6. Step 6: Final answer
    x = 1,742.43

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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.