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Finding the Fourth Proportional to 4,123.84, 6,186 and 1,202.08

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Solution

The fourth proportional to 4,123.84, 6,186 and 1,202.08 is: 1,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.84 : 6,186 = 1,202.08 : x
  2. Step 2: Convert to fraction form
    4,123.84/6,186 = 1,202.08/x
  3. Step 3: Cross multiply
    4,123.84x = 6,186 × 1,202.08
  4. Step 4: Simplify right side
    4,123.84x = 7,436,066.88
  5. Step 5: Solve for x
    x = 7,436,066.88/4,123.84
  6. Step 6: Final answer
    x = 1,803.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.