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Finding the Fourth Proportional to 4,856.94, 6,702.31 and 2,866.77

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Solution

The fourth proportional to 4,856.94, 6,702.31 and 2,866.77 is: 3,955.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.94 : 6,702.31 = 2,866.77 : x
  2. Step 2: Convert to fraction form
    4,856.94/6,702.31 = 2,866.77/x
  3. Step 3: Cross multiply
    4,856.94x = 6,702.31 × 2,866.77
  4. Step 4: Simplify right side
    4,856.94x = 19,213,984.82
  5. Step 5: Solve for x
    x = 19,213,984.82/4,856.94
  6. Step 6: Final answer
    x = 3,955.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.