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Finding the Fourth Proportional to 4,904.06, 7,354.53 and 1,616.54

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Solution

The fourth proportional to 4,904.06, 7,354.53 and 1,616.54 is: 2,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.06 : 7,354.53 = 1,616.54 : x
  2. Step 2: Convert to fraction form
    4,904.06/7,354.53 = 1,616.54/x
  3. Step 3: Cross multiply
    4,904.06x = 7,354.53 × 1,616.54
  4. Step 4: Simplify right side
    4,904.06x = 11,888,891.93
  5. Step 5: Solve for x
    x = 11,888,891.93/4,904.06
  6. Step 6: Final answer
    x = 2,424.30

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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.