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Finding the Fourth Proportional to 5,110.70, 7,056.74 and 4,120.70

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Solution

The fourth proportional to 5,110.70, 7,056.74 and 4,120.70 is: 5,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.70 : 7,056.74 = 4,120.70 : x
  2. Step 2: Convert to fraction form
    5,110.70/7,056.74 = 4,120.70/x
  3. Step 3: Cross multiply
    5,110.70x = 7,056.74 × 4,120.70
  4. Step 4: Simplify right side
    5,110.70x = 29,078,687.91
  5. Step 5: Solve for x
    x = 29,078,687.91/5,110.70
  6. Step 6: Final answer
    x = 5,689.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.