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Finding the Fourth Proportional to 4,139.54, 5,709.99 and 2,567.63

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Solution

The fourth proportional to 4,139.54, 5,709.99 and 2,567.63 is: 3,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.54 : 5,709.99 = 2,567.63 : x
  2. Step 2: Convert to fraction form
    4,139.54/5,709.99 = 2,567.63/x
  3. Step 3: Cross multiply
    4,139.54x = 5,709.99 × 2,567.63
  4. Step 4: Simplify right side
    4,139.54x = 14,661,165.53
  5. Step 5: Solve for x
    x = 14,661,165.53/4,139.54
  6. Step 6: Final answer
    x = 3,541.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.