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Finding the Fourth Proportional to 4,856.58, 6,702.41 and 2,866.61

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Solution

The fourth proportional to 4,856.58, 6,702.41 and 2,866.61 is: 3,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.58 : 6,702.41 = 2,866.61 : x
  2. Step 2: Convert to fraction form
    4,856.58/6,702.41 = 2,866.61/x
  3. Step 3: Cross multiply
    4,856.58x = 6,702.41 × 2,866.61
  4. Step 4: Simplify right side
    4,856.58x = 19,213,219.45
  5. Step 5: Solve for x
    x = 19,213,219.45/4,856.58
  6. Step 6: Final answer
    x = 3,956.12

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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.