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Finding the Fourth Proportional to 3,646.56, 5,470.40 and 1,180.64

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Solution

The fourth proportional to 3,646.56, 5,470.40 and 1,180.64 is: 1,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.56 : 5,470.40 = 1,180.64 : x
  2. Step 2: Convert to fraction form
    3,646.56/5,470.40 = 1,180.64/x
  3. Step 3: Cross multiply
    3,646.56x = 5,470.40 × 1,180.64
  4. Step 4: Simplify right side
    3,646.56x = 6,458,573.06
  5. Step 5: Solve for x
    x = 6,458,573.06/3,646.56
  6. Step 6: Final answer
    x = 1,771.14

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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.