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Finding the Fourth Proportional to 3,416.88, 5,125.60 and 951.72

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Solution

The fourth proportional to 3,416.88, 5,125.60 and 951.72 is: 1,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.88 : 5,125.60 = 951.72 : x
  2. Step 2: Convert to fraction form
    3,416.88/5,125.60 = 951.72/x
  3. Step 3: Cross multiply
    3,416.88x = 5,125.60 × 951.72
  4. Step 4: Simplify right side
    3,416.88x = 4,878,163.92
  5. Step 5: Solve for x
    x = 4,878,163.92/3,416.88
  6. Step 6: Final answer
    x = 1,427.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.