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Finding the Fourth Proportional to 3,887.84, 5,829.32 and 1,290.18

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Solution

The fourth proportional to 3,887.84, 5,829.32 and 1,290.18 is: 1,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.84 : 5,829.32 = 1,290.18 : x
  2. Step 2: Convert to fraction form
    3,887.84/5,829.32 = 1,290.18/x
  3. Step 3: Cross multiply
    3,887.84x = 5,829.32 × 1,290.18
  4. Step 4: Simplify right side
    3,887.84x = 7,520,872.08
  5. Step 5: Solve for x
    x = 7,520,872.08/3,887.84
  6. Step 6: Final answer
    x = 1,934.46

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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.