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Finding the Fourth Proportional to 4,306.57, 6,442.84 and 4,274.98

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Solution

The fourth proportional to 4,306.57, 6,442.84 and 4,274.98 is: 6,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.57 : 6,442.84 = 4,274.98 : x
  2. Step 2: Convert to fraction form
    4,306.57/6,442.84 = 4,274.98/x
  3. Step 3: Cross multiply
    4,306.57x = 6,442.84 × 4,274.98
  4. Step 4: Simplify right side
    4,306.57x = 27,543,001.38
  5. Step 5: Solve for x
    x = 27,543,001.38/4,306.57
  6. Step 6: Final answer
    x = 6,395.58

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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.