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Finding the Fourth Proportional to 4,836.96, 7,254.48 and 1,912.32

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Solution

The fourth proportional to 4,836.96, 7,254.48 and 1,912.32 is: 2,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.96 : 7,254.48 = 1,912.32 : x
  2. Step 2: Convert to fraction form
    4,836.96/7,254.48 = 1,912.32/x
  3. Step 3: Cross multiply
    4,836.96x = 7,254.48 × 1,912.32
  4. Step 4: Simplify right side
    4,836.96x = 13,872,887.19
  5. Step 5: Solve for x
    x = 13,872,887.19/4,836.96
  6. Step 6: Final answer
    x = 2,868.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.