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Finding the Fourth Proportional to 4,648.07, 6,973.89 and 2,800.46

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Solution

The fourth proportional to 4,648.07, 6,973.89 and 2,800.46 is: 4,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.07 : 6,973.89 = 2,800.46 : x
  2. Step 2: Convert to fraction form
    4,648.07/6,973.89 = 2,800.46/x
  3. Step 3: Cross multiply
    4,648.07x = 6,973.89 × 2,800.46
  4. Step 4: Simplify right side
    4,648.07x = 19,530,099.99
  5. Step 5: Solve for x
    x = 19,530,099.99/4,648.07
  6. Step 6: Final answer
    x = 4,201.77

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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.