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Finding the Fourth Proportional to 4,806.86, 7,210.13 and 2,032.77

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Solution

The fourth proportional to 4,806.86, 7,210.13 and 2,032.77 is: 3,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.86 : 7,210.13 = 2,032.77 : x
  2. Step 2: Convert to fraction form
    4,806.86/7,210.13 = 2,032.77/x
  3. Step 3: Cross multiply
    4,806.86x = 7,210.13 × 2,032.77
  4. Step 4: Simplify right side
    4,806.86x = 14,656,525.80
  5. Step 5: Solve for x
    x = 14,656,525.80/4,806.86
  6. Step 6: Final answer
    x = 3,049.09

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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.