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Finding the Fourth Proportional to 4,827.78, 7,238.25 and 2,053.01

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Solution

The fourth proportional to 4,827.78, 7,238.25 and 2,053.01 is: 3,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.78 : 7,238.25 = 2,053.01 : x
  2. Step 2: Convert to fraction form
    4,827.78/7,238.25 = 2,053.01/x
  3. Step 3: Cross multiply
    4,827.78x = 7,238.25 × 2,053.01
  4. Step 4: Simplify right side
    4,827.78x = 14,860,217.73
  5. Step 5: Solve for x
    x = 14,860,217.73/4,827.78
  6. Step 6: Final answer
    x = 3,078.06

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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.