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Finding the Fourth Proportional to 3,416.47, 5,124.11 and 950.63

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Solution

The fourth proportional to 3,416.47, 5,124.11 and 950.63 is: 1,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.47 : 5,124.11 = 950.63 : x
  2. Step 2: Convert to fraction form
    3,416.47/5,124.11 = 950.63/x
  3. Step 3: Cross multiply
    3,416.47x = 5,124.11 × 950.63
  4. Step 4: Simplify right side
    3,416.47x = 4,871,132.69
  5. Step 5: Solve for x
    x = 4,871,132.69/3,416.47
  6. Step 6: Final answer
    x = 1,425.78

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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.