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Finding the Fourth Proportional to 5,445.84, 7,516.63 and 3,206.90

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Solution

The fourth proportional to 5,445.84, 7,516.63 and 3,206.90 is: 4,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.84 : 7,516.63 = 3,206.90 : x
  2. Step 2: Convert to fraction form
    5,445.84/7,516.63 = 3,206.90/x
  3. Step 3: Cross multiply
    5,445.84x = 7,516.63 × 3,206.90
  4. Step 4: Simplify right side
    5,445.84x = 24,105,103.55
  5. Step 5: Solve for x
    x = 24,105,103.55/5,445.84
  6. Step 6: Final answer
    x = 4,426.33

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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.