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Finding the Fourth Proportional to 4,894.56, 7,342.88 and 2,296

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Solution

The fourth proportional to 4,894.56, 7,342.88 and 2,296 is: 3,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.56 : 7,342.88 = 2,296 : x
  2. Step 2: Convert to fraction form
    4,894.56/7,342.88 = 2,296/x
  3. Step 3: Cross multiply
    4,894.56x = 7,342.88 × 2,296
  4. Step 4: Simplify right side
    4,894.56x = 16,859,252.48
  5. Step 5: Solve for x
    x = 16,859,252.48/4,894.56
  6. Step 6: Final answer
    x = 3,444.49

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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.