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Finding the Fourth Proportional to 3,646.71, 5,468.87 and 1,181.00

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Solution

The fourth proportional to 3,646.71, 5,468.87 and 1,181.00 is: 1,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.71 : 5,468.87 = 1,181.00 : x
  2. Step 2: Convert to fraction form
    3,646.71/5,468.87 = 1,181.00/x
  3. Step 3: Cross multiply
    3,646.71x = 5,468.87 × 1,181.00
  4. Step 4: Simplify right side
    3,646.71x = 6,458,702.22
  5. Step 5: Solve for x
    x = 6,458,702.22/3,646.71
  6. Step 6: Final answer
    x = 1,771.10

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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.