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Finding the Fourth Proportional to 4,206.72, 6,308.28 and 1,866.72

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Solution

The fourth proportional to 4,206.72, 6,308.28 and 1,866.72 is: 2,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.72 : 6,308.28 = 1,866.72 : x
  2. Step 2: Convert to fraction form
    4,206.72/6,308.28 = 1,866.72/x
  3. Step 3: Cross multiply
    4,206.72x = 6,308.28 × 1,866.72
  4. Step 4: Simplify right side
    4,206.72x = 11,775,792.44
  5. Step 5: Solve for x
    x = 11,775,792.44/4,206.72
  6. Step 6: Final answer
    x = 2,799.28

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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.