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Finding the Fourth Proportional to 4,944.55, 6,823.22 and 2,706.00

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Solution

The fourth proportional to 4,944.55, 6,823.22 and 2,706.00 is: 3,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.55 : 6,823.22 = 2,706.00 : x
  2. Step 2: Convert to fraction form
    4,944.55/6,823.22 = 2,706.00/x
  3. Step 3: Cross multiply
    4,944.55x = 6,823.22 × 2,706.00
  4. Step 4: Simplify right side
    4,944.55x = 18,463,602.42
  5. Step 5: Solve for x
    x = 18,463,602.42/4,944.55
  6. Step 6: Final answer
    x = 3,734.13

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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.