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Finding the Fourth Proportional to 3,483.86, 5,225.82 and 2,789.62

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Solution

The fourth proportional to 3,483.86, 5,225.82 and 2,789.62 is: 4,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.86 : 5,225.82 = 2,789.62 : x
  2. Step 2: Convert to fraction form
    3,483.86/5,225.82 = 2,789.62/x
  3. Step 3: Cross multiply
    3,483.86x = 5,225.82 × 2,789.62
  4. Step 4: Simplify right side
    3,483.86x = 14,578,028.46
  5. Step 5: Solve for x
    x = 14,578,028.46/3,483.86
  6. Step 6: Final answer
    x = 4,184.45

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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.