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Finding the Fourth Proportional to 3,163.60, 4,746.05 and 1,583.14

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Solution

The fourth proportional to 3,163.60, 4,746.05 and 1,583.14 is: 2,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.60 : 4,746.05 = 1,583.14 : x
  2. Step 2: Convert to fraction form
    3,163.60/4,746.05 = 1,583.14/x
  3. Step 3: Cross multiply
    3,163.60x = 4,746.05 × 1,583.14
  4. Step 4: Simplify right side
    3,163.60x = 7,513,653.69
  5. Step 5: Solve for x
    x = 7,513,653.69/3,163.60
  6. Step 6: Final answer
    x = 2,375.03

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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.