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Finding the Fourth Proportional to 5,509.72, 8,264.86 and 1,614.44

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Solution

The fourth proportional to 5,509.72, 8,264.86 and 1,614.44 is: 2,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.72 : 8,264.86 = 1,614.44 : x
  2. Step 2: Convert to fraction form
    5,509.72/8,264.86 = 1,614.44/x
  3. Step 3: Cross multiply
    5,509.72x = 8,264.86 × 1,614.44
  4. Step 4: Simplify right side
    5,509.72x = 13,343,120.58
  5. Step 5: Solve for x
    x = 13,343,120.58/5,509.72
  6. Step 6: Final answer
    x = 2,421.74

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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.