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Finding the Fourth Proportional to 4,560.34, 6,294.32 and 3,813.01

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Solution

The fourth proportional to 4,560.34, 6,294.32 and 3,813.01 is: 5,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.34 : 6,294.32 = 3,813.01 : x
  2. Step 2: Convert to fraction form
    4,560.34/6,294.32 = 3,813.01/x
  3. Step 3: Cross multiply
    4,560.34x = 6,294.32 × 3,813.01
  4. Step 4: Simplify right side
    4,560.34x = 24,000,305.10
  5. Step 5: Solve for x
    x = 24,000,305.10/4,560.34
  6. Step 6: Final answer
    x = 5,262.83

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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.