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Finding the Fourth Proportional to 3,772.84, 5,657.86 and 1,307

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Solution

The fourth proportional to 3,772.84, 5,657.86 and 1,307 is: 1,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.84 : 5,657.86 = 1,307 : x
  2. Step 2: Convert to fraction form
    3,772.84/5,657.86 = 1,307/x
  3. Step 3: Cross multiply
    3,772.84x = 5,657.86 × 1,307
  4. Step 4: Simplify right side
    3,772.84x = 7,394,823.02
  5. Step 5: Solve for x
    x = 7,394,823.02/3,772.84
  6. Step 6: Final answer
    x = 1,960.02

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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.