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Finding the Fourth Proportional to 4,657.73, 6,977.01 and 2,461.82

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Solution

The fourth proportional to 4,657.73, 6,977.01 and 2,461.82 is: 3,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.73 : 6,977.01 = 2,461.82 : x
  2. Step 2: Convert to fraction form
    4,657.73/6,977.01 = 2,461.82/x
  3. Step 3: Cross multiply
    4,657.73x = 6,977.01 × 2,461.82
  4. Step 4: Simplify right side
    4,657.73x = 17,176,142.76
  5. Step 5: Solve for x
    x = 17,176,142.76/4,657.73
  6. Step 6: Final answer
    x = 3,687.66

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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.