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Finding the Fourth Proportional to 5,723.42, 7,898.50 and 3,205.53

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Solution

The fourth proportional to 5,723.42, 7,898.50 and 3,205.53 is: 4,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.42 : 7,898.50 = 3,205.53 : x
  2. Step 2: Convert to fraction form
    5,723.42/7,898.50 = 3,205.53/x
  3. Step 3: Cross multiply
    5,723.42x = 7,898.50 × 3,205.53
  4. Step 4: Simplify right side
    5,723.42x = 25,318,823.18
  5. Step 5: Solve for x
    x = 25,318,823.18/5,723.42
  6. Step 6: Final answer
    x = 4,423.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.