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Finding the Fourth Proportional to 4,096.88, 5,656.02 and 2,702.06

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Solution

The fourth proportional to 4,096.88, 5,656.02 and 2,702.06 is: 3,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.88 : 5,656.02 = 2,702.06 : x
  2. Step 2: Convert to fraction form
    4,096.88/5,656.02 = 2,702.06/x
  3. Step 3: Cross multiply
    4,096.88x = 5,656.02 × 2,702.06
  4. Step 4: Simplify right side
    4,096.88x = 15,282,905.40
  5. Step 5: Solve for x
    x = 15,282,905.40/4,096.88
  6. Step 6: Final answer
    x = 3,730.38

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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.