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Finding the Fourth Proportional to 5,249, 7,244.06 and 3,680.84

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Solution

The fourth proportional to 5,249, 7,244.06 and 3,680.84 is: 5,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249 : 7,244.06 = 3,680.84 : x
  2. Step 2: Convert to fraction form
    5,249/7,244.06 = 3,680.84/x
  3. Step 3: Cross multiply
    5,249x = 7,244.06 × 3,680.84
  4. Step 4: Simplify right side
    5,249x = 26,664,225.81
  5. Step 5: Solve for x
    x = 26,664,225.81/5,249
  6. Step 6: Final answer
    x = 5,079.87

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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.