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Finding the Fourth Proportional to 4,894.61, 6,754.55 and 2,906.81

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Solution

The fourth proportional to 4,894.61, 6,754.55 and 2,906.81 is: 4,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.61 : 6,754.55 = 2,906.81 : x
  2. Step 2: Convert to fraction form
    4,894.61/6,754.55 = 2,906.81/x
  3. Step 3: Cross multiply
    4,894.61x = 6,754.55 × 2,906.81
  4. Step 4: Simplify right side
    4,894.61x = 19,634,145.18
  5. Step 5: Solve for x
    x = 19,634,145.18/4,894.61
  6. Step 6: Final answer
    x = 4,011.38

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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.