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Finding the Fourth Proportional to 3,513.64, 4,847.62 and 2,041.64

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Solution

The fourth proportional to 3,513.64, 4,847.62 and 2,041.64 is: 2,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.64 : 4,847.62 = 2,041.64 : x
  2. Step 2: Convert to fraction form
    3,513.64/4,847.62 = 2,041.64/x
  3. Step 3: Cross multiply
    3,513.64x = 4,847.62 × 2,041.64
  4. Step 4: Simplify right side
    3,513.64x = 9,897,094.90
  5. Step 5: Solve for x
    x = 9,897,094.90/3,513.64
  6. Step 6: Final answer
    x = 2,816.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.