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Finding the Fourth Proportional to 4,663.61, 6,993.35 and 2,471.82

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Solution

The fourth proportional to 4,663.61, 6,993.35 and 2,471.82 is: 3,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.61 : 6,993.35 = 2,471.82 : x
  2. Step 2: Convert to fraction form
    4,663.61/6,993.35 = 2,471.82/x
  3. Step 3: Cross multiply
    4,663.61x = 6,993.35 × 2,471.82
  4. Step 4: Simplify right side
    4,663.61x = 17,286,290.04
  5. Step 5: Solve for x
    x = 17,286,290.04/4,663.61
  6. Step 6: Final answer
    x = 3,706.64

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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.