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Finding the Fourth Proportional to 3,651.79, 5,476.53 and 1,186.10

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Solution

The fourth proportional to 3,651.79, 5,476.53 and 1,186.10 is: 1,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.79 : 5,476.53 = 1,186.10 : x
  2. Step 2: Convert to fraction form
    3,651.79/5,476.53 = 1,186.10/x
  3. Step 3: Cross multiply
    3,651.79x = 5,476.53 × 1,186.10
  4. Step 4: Simplify right side
    3,651.79x = 6,495,684.85
  5. Step 5: Solve for x
    x = 6,495,684.85/3,651.79
  6. Step 6: Final answer
    x = 1,778.77

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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.