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Finding the Fourth Proportional to 4,673.06, 6,442.60 and 3,873.38

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Solution

The fourth proportional to 4,673.06, 6,442.60 and 3,873.38 is: 5,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.06 : 6,442.60 = 3,873.38 : x
  2. Step 2: Convert to fraction form
    4,673.06/6,442.60 = 3,873.38/x
  3. Step 3: Cross multiply
    4,673.06x = 6,442.60 × 3,873.38
  4. Step 4: Simplify right side
    4,673.06x = 24,954,637.99
  5. Step 5: Solve for x
    x = 24,954,637.99/4,673.06
  6. Step 6: Final answer
    x = 5,340.11

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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.