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Finding the Fourth Proportional to 4,784.06, 6,601.70 and 2,794.50

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Solution

The fourth proportional to 4,784.06, 6,601.70 and 2,794.50 is: 3,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.06 : 6,601.70 = 2,794.50 : x
  2. Step 2: Convert to fraction form
    4,784.06/6,601.70 = 2,794.50/x
  3. Step 3: Cross multiply
    4,784.06x = 6,601.70 × 2,794.50
  4. Step 4: Simplify right side
    4,784.06x = 18,448,457.64
  5. Step 5: Solve for x
    x = 18,448,457.64/4,784.06
  6. Step 6: Final answer
    x = 3,856.23

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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.