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Finding the Fourth Proportional to 3,484.16, 4,808.32 and 1,912.16

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Solution

The fourth proportional to 3,484.16, 4,808.32 and 1,912.16 is: 2,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.16 : 4,808.32 = 1,912.16 : x
  2. Step 2: Convert to fraction form
    3,484.16/4,808.32 = 1,912.16/x
  3. Step 3: Cross multiply
    3,484.16x = 4,808.32 × 1,912.16
  4. Step 4: Simplify right side
    3,484.16x = 9,194,277.17
  5. Step 5: Solve for x
    x = 9,194,277.17/3,484.16
  6. Step 6: Final answer
    x = 2,638.88

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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.