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Finding the Fourth Proportional to 4,964.78, 7,444.13 and 2,004.59

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Solution

The fourth proportional to 4,964.78, 7,444.13 and 2,004.59 is: 3,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.78 : 7,444.13 = 2,004.59 : x
  2. Step 2: Convert to fraction form
    4,964.78/7,444.13 = 2,004.59/x
  3. Step 3: Cross multiply
    4,964.78x = 7,444.13 × 2,004.59
  4. Step 4: Simplify right side
    4,964.78x = 14,922,381.31
  5. Step 5: Solve for x
    x = 14,922,381.31/4,964.78
  6. Step 6: Final answer
    x = 3,005.65

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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.