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Finding the Fourth Proportional to 3,426.16, 4,731.60 and 2,953.12

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Solution

The fourth proportional to 3,426.16, 4,731.60 and 2,953.12 is: 4,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.16 : 4,731.60 = 2,953.12 : x
  2. Step 2: Convert to fraction form
    3,426.16/4,731.60 = 2,953.12/x
  3. Step 3: Cross multiply
    3,426.16x = 4,731.60 × 2,953.12
  4. Step 4: Simplify right side
    3,426.16x = 13,972,982.59
  5. Step 5: Solve for x
    x = 13,972,982.59/3,426.16
  6. Step 6: Final answer
    x = 4,078.32

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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.