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Finding the Fourth Proportional to 4,728.02, 7,087.92 and 1,952.96

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Solution

The fourth proportional to 4,728.02, 7,087.92 and 1,952.96 is: 2,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.02 : 7,087.92 = 1,952.96 : x
  2. Step 2: Convert to fraction form
    4,728.02/7,087.92 = 1,952.96/x
  3. Step 3: Cross multiply
    4,728.02x = 7,087.92 × 1,952.96
  4. Step 4: Simplify right side
    4,728.02x = 13,842,424.24
  5. Step 5: Solve for x
    x = 13,842,424.24/4,728.02
  6. Step 6: Final answer
    x = 2,927.74

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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.