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Finding the Fourth Proportional to 3,428.60, 4,727.16 and 2,798.48

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Solution

The fourth proportional to 3,428.60, 4,727.16 and 2,798.48 is: 3,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.60 : 4,727.16 = 2,798.48 : x
  2. Step 2: Convert to fraction form
    3,428.60/4,727.16 = 2,798.48/x
  3. Step 3: Cross multiply
    3,428.60x = 4,727.16 × 2,798.48
  4. Step 4: Simplify right side
    3,428.60x = 13,228,874.53
  5. Step 5: Solve for x
    x = 13,228,874.53/3,428.60
  6. Step 6: Final answer
    x = 3,858.40

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Why These Related Problems?

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