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Finding the Fourth Proportional to 3,310.47, 4,970.57 and 1,366.47

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Solution

The fourth proportional to 3,310.47, 4,970.57 and 1,366.47 is: 2,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.47 : 4,970.57 = 1,366.47 : x
  2. Step 2: Convert to fraction form
    3,310.47/4,970.57 = 1,366.47/x
  3. Step 3: Cross multiply
    3,310.47x = 4,970.57 × 1,366.47
  4. Step 4: Simplify right side
    3,310.47x = 6,792,127.96
  5. Step 5: Solve for x
    x = 6,792,127.96/3,310.47
  6. Step 6: Final answer
    x = 2,051.71

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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.