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Finding the Fourth Proportional to 4,904.48, 7,357.20 and 1,616.80

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Solution

The fourth proportional to 4,904.48, 7,357.20 and 1,616.80 is: 2,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.48 : 7,357.20 = 1,616.80 : x
  2. Step 2: Convert to fraction form
    4,904.48/7,357.20 = 1,616.80/x
  3. Step 3: Cross multiply
    4,904.48x = 7,357.20 × 1,616.80
  4. Step 4: Simplify right side
    4,904.48x = 11,895,120.96
  5. Step 5: Solve for x
    x = 11,895,120.96/4,904.48
  6. Step 6: Final answer
    x = 2,425.36

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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.