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Finding the Fourth Proportional to 4,807.12, 7,213.88 and 1,687.12

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Solution

The fourth proportional to 4,807.12, 7,213.88 and 1,687.12 is: 2,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.12 : 7,213.88 = 1,687.12 : x
  2. Step 2: Convert to fraction form
    4,807.12/7,213.88 = 1,687.12/x
  3. Step 3: Cross multiply
    4,807.12x = 7,213.88 × 1,687.12
  4. Step 4: Simplify right side
    4,807.12x = 12,170,681.23
  5. Step 5: Solve for x
    x = 12,170,681.23/4,807.12
  6. Step 6: Final answer
    x = 2,531.80

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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.