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Finding the Fourth Proportional to 5,509.90, 8,254.43 and 4,271.25

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Solution

The fourth proportional to 5,509.90, 8,254.43 and 4,271.25 is: 6,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.90 : 8,254.43 = 4,271.25 : x
  2. Step 2: Convert to fraction form
    5,509.90/8,254.43 = 4,271.25/x
  3. Step 3: Cross multiply
    5,509.90x = 8,254.43 × 4,271.25
  4. Step 4: Simplify right side
    5,509.90x = 35,256,734.14
  5. Step 5: Solve for x
    x = 35,256,734.14/5,509.90
  6. Step 6: Final answer
    x = 6,398.80

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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.