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Finding the Fourth Proportional to 3,924.84, 5,887.08 and 1,151.40

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Solution

The fourth proportional to 3,924.84, 5,887.08 and 1,151.40 is: 1,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.84 : 5,887.08 = 1,151.40 : x
  2. Step 2: Convert to fraction form
    3,924.84/5,887.08 = 1,151.40/x
  3. Step 3: Cross multiply
    3,924.84x = 5,887.08 × 1,151.40
  4. Step 4: Simplify right side
    3,924.84x = 6,778,383.91
  5. Step 5: Solve for x
    x = 6,778,383.91/3,924.84
  6. Step 6: Final answer
    x = 1,727.05

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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.