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Finding the Fourth Proportional to 3,478.83, 4,802.34 and 2,221.53

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Solution

The fourth proportional to 3,478.83, 4,802.34 and 2,221.53 is: 3,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.83 : 4,802.34 = 2,221.53 : x
  2. Step 2: Convert to fraction form
    3,478.83/4,802.34 = 2,221.53/x
  3. Step 3: Cross multiply
    3,478.83x = 4,802.34 × 2,221.53
  4. Step 4: Simplify right side
    3,478.83x = 10,668,542.38
  5. Step 5: Solve for x
    x = 10,668,542.38/3,478.83
  6. Step 6: Final answer
    x = 3,066.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.