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Finding the Fourth Proportional to 4,217.76, 6,326.64 and 1,139.76

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Solution

The fourth proportional to 4,217.76, 6,326.64 and 1,139.76 is: 1,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.76 : 6,326.64 = 1,139.76 : x
  2. Step 2: Convert to fraction form
    4,217.76/6,326.64 = 1,139.76/x
  3. Step 3: Cross multiply
    4,217.76x = 6,326.64 × 1,139.76
  4. Step 4: Simplify right side
    4,217.76x = 7,210,851.21
  5. Step 5: Solve for x
    x = 7,210,851.21/4,217.76
  6. Step 6: Final answer
    x = 1,709.64

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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.