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Finding the Fourth Proportional to 4,772, 6,582 and 4,141.28

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Solution

The fourth proportional to 4,772, 6,582 and 4,141.28 is: 5,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772 : 6,582 = 4,141.28 : x
  2. Step 2: Convert to fraction form
    4,772/6,582 = 4,141.28/x
  3. Step 3: Cross multiply
    4,772x = 6,582 × 4,141.28
  4. Step 4: Simplify right side
    4,772x = 27,257,904.96
  5. Step 5: Solve for x
    x = 27,257,904.96/4,772
  6. Step 6: Final answer
    x = 5,712.05

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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.