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Finding the Fourth Proportional to 3,784.98, 5,677.71 and 1,188.02

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Solution

The fourth proportional to 3,784.98, 5,677.71 and 1,188.02 is: 1,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.98 : 5,677.71 = 1,188.02 : x
  2. Step 2: Convert to fraction form
    3,784.98/5,677.71 = 1,188.02/x
  3. Step 3: Cross multiply
    3,784.98x = 5,677.71 × 1,188.02
  4. Step 4: Simplify right side
    3,784.98x = 6,745,233.03
  5. Step 5: Solve for x
    x = 6,745,233.03/3,784.98
  6. Step 6: Final answer
    x = 1,782.11

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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.