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Finding the Fourth Proportional to 4,599.30, 6,896.76 and 1,478.70

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Solution

The fourth proportional to 4,599.30, 6,896.76 and 1,478.70 is: 2,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.30 : 6,896.76 = 1,478.70 : x
  2. Step 2: Convert to fraction form
    4,599.30/6,896.76 = 1,478.70/x
  3. Step 3: Cross multiply
    4,599.30x = 6,896.76 × 1,478.70
  4. Step 4: Simplify right side
    4,599.30x = 10,198,239.01
  5. Step 5: Solve for x
    x = 10,198,239.01/4,599.30
  6. Step 6: Final answer
    x = 2,217.35

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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.