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Finding the Fourth Proportional to 5,672.57, 8,497.91 and 4,633.74

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Solution

The fourth proportional to 5,672.57, 8,497.91 and 4,633.74 is: 6,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.57 : 8,497.91 = 4,633.74 : x
  2. Step 2: Convert to fraction form
    5,672.57/8,497.91 = 4,633.74/x
  3. Step 3: Cross multiply
    5,672.57x = 8,497.91 × 4,633.74
  4. Step 4: Simplify right side
    5,672.57x = 39,377,117.07
  5. Step 5: Solve for x
    x = 39,377,117.07/5,672.57
  6. Step 6: Final answer
    x = 6,941.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.