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Finding the Fourth Proportional to 4,591.66, 6,885.72 and 1,471

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Solution

The fourth proportional to 4,591.66, 6,885.72 and 1,471 is: 2,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.66 : 6,885.72 = 1,471 : x
  2. Step 2: Convert to fraction form
    4,591.66/6,885.72 = 1,471/x
  3. Step 3: Cross multiply
    4,591.66x = 6,885.72 × 1,471
  4. Step 4: Simplify right side
    4,591.66x = 10,128,894.12
  5. Step 5: Solve for x
    x = 10,128,894.12/4,591.66
  6. Step 6: Final answer
    x = 2,205.93

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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.