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Finding the Fourth Proportional to 3,416.04, 5,124.02 and 950.85

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Solution

The fourth proportional to 3,416.04, 5,124.02 and 950.85 is: 1,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.04 : 5,124.02 = 950.85 : x
  2. Step 2: Convert to fraction form
    3,416.04/5,124.02 = 950.85/x
  3. Step 3: Cross multiply
    3,416.04x = 5,124.02 × 950.85
  4. Step 4: Simplify right side
    3,416.04x = 4,872,169.66
  5. Step 5: Solve for x
    x = 4,872,169.66/3,416.04
  6. Step 6: Final answer
    x = 1,426.26

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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.