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Finding the Fourth Proportional to 3,126.14, 4,702.17 and 2,828.06

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Solution

The fourth proportional to 3,126.14, 4,702.17 and 2,828.06 is: 4,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.14 : 4,702.17 = 2,828.06 : x
  2. Step 2: Convert to fraction form
    3,126.14/4,702.17 = 2,828.06/x
  3. Step 3: Cross multiply
    3,126.14x = 4,702.17 × 2,828.06
  4. Step 4: Simplify right side
    3,126.14x = 13,298,018.89
  5. Step 5: Solve for x
    x = 13,298,018.89/3,126.14
  6. Step 6: Final answer
    x = 4,253.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.