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Finding the Fourth Proportional to 4,691.70, 7,018.11 and 4,264.02

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Solution

The fourth proportional to 4,691.70, 7,018.11 and 4,264.02 is: 6,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.70 : 7,018.11 = 4,264.02 : x
  2. Step 2: Convert to fraction form
    4,691.70/7,018.11 = 4,264.02/x
  3. Step 3: Cross multiply
    4,691.70x = 7,018.11 × 4,264.02
  4. Step 4: Simplify right side
    4,691.70x = 29,925,361.40
  5. Step 5: Solve for x
    x = 29,925,361.40/4,691.70
  6. Step 6: Final answer
    x = 6,378.36

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Why These Related Problems?

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