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Finding the Fourth Proportional to 3,706.74, 5,562.50 and 2,064.44

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Solution

The fourth proportional to 3,706.74, 5,562.50 and 2,064.44 is: 3,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.74 : 5,562.50 = 2,064.44 : x
  2. Step 2: Convert to fraction form
    3,706.74/5,562.50 = 2,064.44/x
  3. Step 3: Cross multiply
    3,706.74x = 5,562.50 × 2,064.44
  4. Step 4: Simplify right side
    3,706.74x = 11,483,425.60
  5. Step 5: Solve for x
    x = 11,483,425.60/3,706.74
  6. Step 6: Final answer
    x = 3,097.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.