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Finding the Fourth Proportional to 5,070.43, 7,609.47 and 3,314.98

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Solution

The fourth proportional to 5,070.43, 7,609.47 and 3,314.98 is: 4,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.43 : 7,609.47 = 3,314.98 : x
  2. Step 2: Convert to fraction form
    5,070.43/7,609.47 = 3,314.98/x
  3. Step 3: Cross multiply
    5,070.43x = 7,609.47 × 3,314.98
  4. Step 4: Simplify right side
    5,070.43x = 25,225,240.86
  5. Step 5: Solve for x
    x = 25,225,240.86/5,070.43
  6. Step 6: Final answer
    x = 4,974.97

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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.