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Finding the Fourth Proportional to 4,899.54, 7,346.88 and 2,819

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Solution

The fourth proportional to 4,899.54, 7,346.88 and 2,819 is: 4,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.54 : 7,346.88 = 2,819 : x
  2. Step 2: Convert to fraction form
    4,899.54/7,346.88 = 2,819/x
  3. Step 3: Cross multiply
    4,899.54x = 7,346.88 × 2,819
  4. Step 4: Simplify right side
    4,899.54x = 20,710,854.72
  5. Step 5: Solve for x
    x = 20,710,854.72/4,899.54
  6. Step 6: Final answer
    x = 4,227.10

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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.