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Finding the Fourth Proportional to 4,467.28, 6,696.16 and 2,386

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Solution

The fourth proportional to 4,467.28, 6,696.16 and 2,386 is: 3,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.28 : 6,696.16 = 2,386 : x
  2. Step 2: Convert to fraction form
    4,467.28/6,696.16 = 2,386/x
  3. Step 3: Cross multiply
    4,467.28x = 6,696.16 × 2,386
  4. Step 4: Simplify right side
    4,467.28x = 15,977,037.76
  5. Step 5: Solve for x
    x = 15,977,037.76/4,467.28
  6. Step 6: Final answer
    x = 3,576.46

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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.