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Finding the Fourth Proportional to 3,416.76, 5,124.48 and 951.60

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Solution

The fourth proportional to 3,416.76, 5,124.48 and 951.60 is: 1,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.76 : 5,124.48 = 951.60 : x
  2. Step 2: Convert to fraction form
    3,416.76/5,124.48 = 951.60/x
  3. Step 3: Cross multiply
    3,416.76x = 5,124.48 × 951.60
  4. Step 4: Simplify right side
    3,416.76x = 4,876,455.17
  5. Step 5: Solve for x
    x = 4,876,455.17/3,416.76
  6. Step 6: Final answer
    x = 1,427.22

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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.