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Finding the Fourth Proportional to 5,953.94, 8,931 and 2,257.91

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Solution

The fourth proportional to 5,953.94, 8,931 and 2,257.91 is: 3,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.94 : 8,931 = 2,257.91 : x
  2. Step 2: Convert to fraction form
    5,953.94/8,931 = 2,257.91/x
  3. Step 3: Cross multiply
    5,953.94x = 8,931 × 2,257.91
  4. Step 4: Simplify right side
    5,953.94x = 20,165,349.56
  5. Step 5: Solve for x
    x = 20,165,349.56/5,953.94
  6. Step 6: Final answer
    x = 3,386.89

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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.