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Finding the Fourth Proportional to 4,773.83, 7,142.12 and 4,219.79

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Solution

The fourth proportional to 4,773.83, 7,142.12 and 4,219.79 is: 6,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.83 : 7,142.12 = 4,219.79 : x
  2. Step 2: Convert to fraction form
    4,773.83/7,142.12 = 4,219.79/x
  3. Step 3: Cross multiply
    4,773.83x = 7,142.12 × 4,219.79
  4. Step 4: Simplify right side
    4,773.83x = 30,138,225.46
  5. Step 5: Solve for x
    x = 30,138,225.46/4,773.83
  6. Step 6: Final answer
    x = 6,313.22

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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.