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Finding the Fourth Proportional to 4,753.70, 7,130.55 and 4,105.70

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Solution

The fourth proportional to 4,753.70, 7,130.55 and 4,105.70 is: 6,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.70 : 7,130.55 = 4,105.70 : x
  2. Step 2: Convert to fraction form
    4,753.70/7,130.55 = 4,105.70/x
  3. Step 3: Cross multiply
    4,753.70x = 7,130.55 × 4,105.70
  4. Step 4: Simplify right side
    4,753.70x = 29,275,899.14
  5. Step 5: Solve for x
    x = 29,275,899.14/4,753.70
  6. Step 6: Final answer
    x = 6,158.55

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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.