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Finding the Fourth Proportional to 5,462.64, 8,191.53 and 4,160.16

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Solution

The fourth proportional to 5,462.64, 8,191.53 and 4,160.16 is: 6,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.64 : 8,191.53 = 4,160.16 : x
  2. Step 2: Convert to fraction form
    5,462.64/8,191.53 = 4,160.16/x
  3. Step 3: Cross multiply
    5,462.64x = 8,191.53 × 4,160.16
  4. Step 4: Simplify right side
    5,462.64x = 34,078,075.44
  5. Step 5: Solve for x
    x = 34,078,075.44/5,462.64
  6. Step 6: Final answer
    x = 6,238.39

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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.