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Finding the Fourth Proportional to 3,448.95, 5,144.74 and 3,116.79

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Solution

The fourth proportional to 3,448.95, 5,144.74 and 3,116.79 is: 4,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.95 : 5,144.74 = 3,116.79 : x
  2. Step 2: Convert to fraction form
    3,448.95/5,144.74 = 3,116.79/x
  3. Step 3: Cross multiply
    3,448.95x = 5,144.74 × 3,116.79
  4. Step 4: Simplify right side
    3,448.95x = 16,035,066.39
  5. Step 5: Solve for x
    x = 16,035,066.39/3,448.95
  6. Step 6: Final answer
    x = 4,649.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.