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Finding the Fourth Proportional to 4,671.26, 7,006.91 and 1,384.38

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Solution

The fourth proportional to 4,671.26, 7,006.91 and 1,384.38 is: 2,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.26 : 7,006.91 = 1,384.38 : x
  2. Step 2: Convert to fraction form
    4,671.26/7,006.91 = 1,384.38/x
  3. Step 3: Cross multiply
    4,671.26x = 7,006.91 × 1,384.38
  4. Step 4: Simplify right side
    4,671.26x = 9,700,229.53
  5. Step 5: Solve for x
    x = 9,700,229.53/4,671.26
  6. Step 6: Final answer
    x = 2,076.58

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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.