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Finding the Fourth Proportional to 5,082.84, 7,011.72 and 4,383

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Solution

The fourth proportional to 5,082.84, 7,011.72 and 4,383 is: 6,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.84 : 7,011.72 = 4,383 : x
  2. Step 2: Convert to fraction form
    5,082.84/7,011.72 = 4,383/x
  3. Step 3: Cross multiply
    5,082.84x = 7,011.72 × 4,383
  4. Step 4: Simplify right side
    5,082.84x = 30,732,368.76
  5. Step 5: Solve for x
    x = 30,732,368.76/5,082.84
  6. Step 6: Final answer
    x = 6,046.30

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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.