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Finding the Fourth Proportional to 4,863.35, 7,294.57 and 1,576.47

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Solution

The fourth proportional to 4,863.35, 7,294.57 and 1,576.47 is: 2,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.35 : 7,294.57 = 1,576.47 : x
  2. Step 2: Convert to fraction form
    4,863.35/7,294.57 = 1,576.47/x
  3. Step 3: Cross multiply
    4,863.35x = 7,294.57 × 1,576.47
  4. Step 4: Simplify right side
    4,863.35x = 11,499,666.83
  5. Step 5: Solve for x
    x = 11,499,666.83/4,863.35
  6. Step 6: Final answer
    x = 2,364.56

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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.