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Finding the Fourth Proportional to 4,486.08, 6,728.10 and 1,852.92

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Solution

The fourth proportional to 4,486.08, 6,728.10 and 1,852.92 is: 2,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.08 : 6,728.10 = 1,852.92 : x
  2. Step 2: Convert to fraction form
    4,486.08/6,728.10 = 1,852.92/x
  3. Step 3: Cross multiply
    4,486.08x = 6,728.10 × 1,852.92
  4. Step 4: Simplify right side
    4,486.08x = 12,466,631.05
  5. Step 5: Solve for x
    x = 12,466,631.05/4,486.08
  6. Step 6: Final answer
    x = 2,778.96

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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.