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Finding the Fourth Proportional to 4,294.42, 6,440.85 and 1,953.86

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Solution

The fourth proportional to 4,294.42, 6,440.85 and 1,953.86 is: 2,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.42 : 6,440.85 = 1,953.86 : x
  2. Step 2: Convert to fraction form
    4,294.42/6,440.85 = 1,953.86/x
  3. Step 3: Cross multiply
    4,294.42x = 6,440.85 × 1,953.86
  4. Step 4: Simplify right side
    4,294.42x = 12,584,486.98
  5. Step 5: Solve for x
    x = 12,584,486.98/4,294.42
  6. Step 6: Final answer
    x = 2,930.43

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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.