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Finding the Fourth Proportional to 4,857.16, 6,702.06 and 2,866.96

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Solution

The fourth proportional to 4,857.16, 6,702.06 and 2,866.96 is: 3,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.16 : 6,702.06 = 2,866.96 : x
  2. Step 2: Convert to fraction form
    4,857.16/6,702.06 = 2,866.96/x
  3. Step 3: Cross multiply
    4,857.16x = 6,702.06 × 2,866.96
  4. Step 4: Simplify right side
    4,857.16x = 19,214,537.94
  5. Step 5: Solve for x
    x = 19,214,537.94/4,857.16
  6. Step 6: Final answer
    x = 3,955.92

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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.