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Finding the Fourth Proportional to 3,585.42, 5,375.70 and 1,391.60

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Solution

The fourth proportional to 3,585.42, 5,375.70 and 1,391.60 is: 2,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.42 : 5,375.70 = 1,391.60 : x
  2. Step 2: Convert to fraction form
    3,585.42/5,375.70 = 1,391.60/x
  3. Step 3: Cross multiply
    3,585.42x = 5,375.70 × 1,391.60
  4. Step 4: Simplify right side
    3,585.42x = 7,480,824.12
  5. Step 5: Solve for x
    x = 7,480,824.12/3,585.42
  6. Step 6: Final answer
    x = 2,086.46

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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.