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Finding the Fourth Proportional to 4,803.92, 7,208.65 and 2,030.41

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Solution

The fourth proportional to 4,803.92, 7,208.65 and 2,030.41 is: 3,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.92 : 7,208.65 = 2,030.41 : x
  2. Step 2: Convert to fraction form
    4,803.92/7,208.65 = 2,030.41/x
  3. Step 3: Cross multiply
    4,803.92x = 7,208.65 × 2,030.41
  4. Step 4: Simplify right side
    4,803.92x = 14,636,479.00
  5. Step 5: Solve for x
    x = 14,636,479.00/4,803.92
  6. Step 6: Final answer
    x = 3,046.78

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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.