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Finding the Fourth Proportional to 3,376.86, 5,065.56 and 1,297.86

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Solution

The fourth proportional to 3,376.86, 5,065.56 and 1,297.86 is: 1,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.86 : 5,065.56 = 1,297.86 : x
  2. Step 2: Convert to fraction form
    3,376.86/5,065.56 = 1,297.86/x
  3. Step 3: Cross multiply
    3,376.86x = 5,065.56 × 1,297.86
  4. Step 4: Simplify right side
    3,376.86x = 6,574,387.70
  5. Step 5: Solve for x
    x = 6,574,387.70/3,376.86
  6. Step 6: Final answer
    x = 1,946.89

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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.