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Finding the Fourth Proportional to 3,772.17, 5,659.62 and 1,307.69

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Solution

The fourth proportional to 3,772.17, 5,659.62 and 1,307.69 is: 1,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.17 : 5,659.62 = 1,307.69 : x
  2. Step 2: Convert to fraction form
    3,772.17/5,659.62 = 1,307.69/x
  3. Step 3: Cross multiply
    3,772.17x = 5,659.62 × 1,307.69
  4. Step 4: Simplify right side
    3,772.17x = 7,401,055.69
  5. Step 5: Solve for x
    x = 7,401,055.69/3,772.17
  6. Step 6: Final answer
    x = 1,962.02

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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.