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Finding the Fourth Proportional to 4,671, 6,446.06 and 3,017.88

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Solution

The fourth proportional to 4,671, 6,446.06 and 3,017.88 is: 4,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671 : 6,446.06 = 3,017.88 : x
  2. Step 2: Convert to fraction form
    4,671/6,446.06 = 3,017.88/x
  3. Step 3: Cross multiply
    4,671x = 6,446.06 × 3,017.88
  4. Step 4: Simplify right side
    4,671x = 19,453,435.55
  5. Step 5: Solve for x
    x = 19,453,435.55/4,671
  6. Step 6: Final answer
    x = 4,164.73

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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.