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Finding the Fourth Proportional to 3,495.74, 4,822.53 and 2,078.62

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Solution

The fourth proportional to 3,495.74, 4,822.53 and 2,078.62 is: 2,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.74 : 4,822.53 = 2,078.62 : x
  2. Step 2: Convert to fraction form
    3,495.74/4,822.53 = 2,078.62/x
  3. Step 3: Cross multiply
    3,495.74x = 4,822.53 × 2,078.62
  4. Step 4: Simplify right side
    3,495.74x = 10,024,195.25
  5. Step 5: Solve for x
    x = 10,024,195.25/3,495.74
  6. Step 6: Final answer
    x = 2,867.55

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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.