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Finding the Fourth Proportional to 4,677, 7,016.58 and 1,599

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Solution

The fourth proportional to 4,677, 7,016.58 and 1,599 is: 2,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 7,016.58 = 1,599 : x
  2. Step 2: Convert to fraction form
    4,677/7,016.58 = 1,599/x
  3. Step 3: Cross multiply
    4,677x = 7,016.58 × 1,599
  4. Step 4: Simplify right side
    4,677x = 11,219,511.42
  5. Step 5: Solve for x
    x = 11,219,511.42/4,677
  6. Step 6: Final answer
    x = 2,398.87

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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.