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Finding the Fourth Proportional to 4,671.61, 6,446.86 and 2,682.14

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Solution

The fourth proportional to 4,671.61, 6,446.86 and 2,682.14 is: 3,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.61 : 6,446.86 = 2,682.14 : x
  2. Step 2: Convert to fraction form
    4,671.61/6,446.86 = 2,682.14/x
  3. Step 3: Cross multiply
    4,671.61x = 6,446.86 × 2,682.14
  4. Step 4: Simplify right side
    4,671.61x = 17,291,342.14
  5. Step 5: Solve for x
    x = 17,291,342.14/4,671.61
  6. Step 6: Final answer
    x = 3,701.37

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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.