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Finding the Fourth Proportional to 3,775.79, 5,661.47 and 1,142.51

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Solution

The fourth proportional to 3,775.79, 5,661.47 and 1,142.51 is: 1,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.79 : 5,661.47 = 1,142.51 : x
  2. Step 2: Convert to fraction form
    3,775.79/5,661.47 = 1,142.51/x
  3. Step 3: Cross multiply
    3,775.79x = 5,661.47 × 1,142.51
  4. Step 4: Simplify right side
    3,775.79x = 6,468,252.07
  5. Step 5: Solve for x
    x = 6,468,252.07/3,775.79
  6. Step 6: Final answer
    x = 1,713.09

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1.5x scale

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.