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Finding the Fourth Proportional to 4,197.60, 6,292.31 and 1,563.18

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Solution

The fourth proportional to 4,197.60, 6,292.31 and 1,563.18 is: 2,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.60 : 6,292.31 = 1,563.18 : x
  2. Step 2: Convert to fraction form
    4,197.60/6,292.31 = 1,563.18/x
  3. Step 3: Cross multiply
    4,197.60x = 6,292.31 × 1,563.18
  4. Step 4: Simplify right side
    4,197.60x = 9,836,005.33
  5. Step 5: Solve for x
    x = 9,836,005.33/4,197.60
  6. Step 6: Final answer
    x = 2,343.25

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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.