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Finding the Fourth Proportional to 4,576.48, 6,866.40 and 2,237.44

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Solution

The fourth proportional to 4,576.48, 6,866.40 and 2,237.44 is: 3,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.48 : 6,866.40 = 2,237.44 : x
  2. Step 2: Convert to fraction form
    4,576.48/6,866.40 = 2,237.44/x
  3. Step 3: Cross multiply
    4,576.48x = 6,866.40 × 2,237.44
  4. Step 4: Simplify right side
    4,576.48x = 15,363,158.02
  5. Step 5: Solve for x
    x = 15,363,158.02/4,576.48
  6. Step 6: Final answer
    x = 3,356.98

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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.