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Finding the Fourth Proportional to 5,164.75, 7,146.12 and 4,502.98

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Solution

The fourth proportional to 5,164.75, 7,146.12 and 4,502.98 is: 6,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.75 : 7,146.12 = 4,502.98 : x
  2. Step 2: Convert to fraction form
    5,164.75/7,146.12 = 4,502.98/x
  3. Step 3: Cross multiply
    5,164.75x = 7,146.12 × 4,502.98
  4. Step 4: Simplify right side
    5,164.75x = 32,178,835.44
  5. Step 5: Solve for x
    x = 32,178,835.44/5,164.75
  6. Step 6: Final answer
    x = 6,230.47

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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.