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Finding the Fourth Proportional to 5,049.42, 6,966.54 and 3,059.22

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Solution

The fourth proportional to 5,049.42, 6,966.54 and 3,059.22 is: 4,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.42 : 6,966.54 = 3,059.22 : x
  2. Step 2: Convert to fraction form
    5,049.42/6,966.54 = 3,059.22/x
  3. Step 3: Cross multiply
    5,049.42x = 6,966.54 × 3,059.22
  4. Step 4: Simplify right side
    5,049.42x = 21,312,178.50
  5. Step 5: Solve for x
    x = 21,312,178.50/5,049.42
  6. Step 6: Final answer
    x = 4,220.72

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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.