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Finding the Fourth Proportional to 4,576.24, 6,865.08 and 1,498

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Solution

The fourth proportional to 4,576.24, 6,865.08 and 1,498 is: 2,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.24 : 6,865.08 = 1,498 : x
  2. Step 2: Convert to fraction form
    4,576.24/6,865.08 = 1,498/x
  3. Step 3: Cross multiply
    4,576.24x = 6,865.08 × 1,498
  4. Step 4: Simplify right side
    4,576.24x = 10,283,889.84
  5. Step 5: Solve for x
    x = 10,283,889.84/4,576.24
  6. Step 6: Final answer
    x = 2,247.24

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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.