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Finding the Fourth Proportional to 3,782.47, 5,671.74 and 1,700.69

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Solution

The fourth proportional to 3,782.47, 5,671.74 and 1,700.69 is: 2,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.47 : 5,671.74 = 1,700.69 : x
  2. Step 2: Convert to fraction form
    3,782.47/5,671.74 = 1,700.69/x
  3. Step 3: Cross multiply
    3,782.47x = 5,671.74 × 1,700.69
  4. Step 4: Simplify right side
    3,782.47x = 9,645,871.50
  5. Step 5: Solve for x
    x = 9,645,871.50/3,782.47
  6. Step 6: Final answer
    x = 2,550.15

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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.