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Finding the Fourth Proportional to 3,656.77, 5,486.02 and 1,191.60

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Solution

The fourth proportional to 3,656.77, 5,486.02 and 1,191.60 is: 1,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.77 : 5,486.02 = 1,191.60 : x
  2. Step 2: Convert to fraction form
    3,656.77/5,486.02 = 1,191.60/x
  3. Step 3: Cross multiply
    3,656.77x = 5,486.02 × 1,191.60
  4. Step 4: Simplify right side
    3,656.77x = 6,537,138.45
  5. Step 5: Solve for x
    x = 6,537,138.45/3,656.77
  6. Step 6: Final answer
    x = 1,787.68

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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.