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Finding the Fourth Proportional to 4,942.72, 7,416.27 and 2,602.15

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Solution

The fourth proportional to 4,942.72, 7,416.27 and 2,602.15 is: 3,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.72 : 7,416.27 = 2,602.15 : x
  2. Step 2: Convert to fraction form
    4,942.72/7,416.27 = 2,602.15/x
  3. Step 3: Cross multiply
    4,942.72x = 7,416.27 × 2,602.15
  4. Step 4: Simplify right side
    4,942.72x = 19,298,246.98
  5. Step 5: Solve for x
    x = 19,298,246.98/4,942.72
  6. Step 6: Final answer
    x = 3,904.38

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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.