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Finding the Fourth Proportional to 5,288.06, 7,928.98 and 1,777.17

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Solution

The fourth proportional to 5,288.06, 7,928.98 and 1,777.17 is: 2,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.06 : 7,928.98 = 1,777.17 : x
  2. Step 2: Convert to fraction form
    5,288.06/7,928.98 = 1,777.17/x
  3. Step 3: Cross multiply
    5,288.06x = 7,928.98 × 1,777.17
  4. Step 4: Simplify right side
    5,288.06x = 14,091,101.28
  5. Step 5: Solve for x
    x = 14,091,101.28/5,288.06
  6. Step 6: Final answer
    x = 2,664.70

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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.