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Finding the Fourth Proportional to 3,141.42, 4,712.89 and 950.02

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Solution

The fourth proportional to 3,141.42, 4,712.89 and 950.02 is: 1,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.42 : 4,712.89 = 950.02 : x
  2. Step 2: Convert to fraction form
    3,141.42/4,712.89 = 950.02/x
  3. Step 3: Cross multiply
    3,141.42x = 4,712.89 × 950.02
  4. Step 4: Simplify right side
    3,141.42x = 4,477,339.76
  5. Step 5: Solve for x
    x = 4,477,339.76/3,141.42
  6. Step 6: Final answer
    x = 1,425.26

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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.