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Finding the Fourth Proportional to 3,438.64, 4,744.47 and 2,041.12

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Solution

The fourth proportional to 3,438.64, 4,744.47 and 2,041.12 is: 2,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.64 : 4,744.47 = 2,041.12 : x
  2. Step 2: Convert to fraction form
    3,438.64/4,744.47 = 2,041.12/x
  3. Step 3: Cross multiply
    3,438.64x = 4,744.47 × 2,041.12
  4. Step 4: Simplify right side
    3,438.64x = 9,684,032.61
  5. Step 5: Solve for x
    x = 9,684,032.61/3,438.64
  6. Step 6: Final answer
    x = 2,816.24

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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.