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Finding the Fourth Proportional to 4,964.78, 7,444.12 and 2,004.58

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Solution

The fourth proportional to 4,964.78, 7,444.12 and 2,004.58 is: 3,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.78 : 7,444.12 = 2,004.58 : x
  2. Step 2: Convert to fraction form
    4,964.78/7,444.12 = 2,004.58/x
  3. Step 3: Cross multiply
    4,964.78x = 7,444.12 × 2,004.58
  4. Step 4: Simplify right side
    4,964.78x = 14,922,334.07
  5. Step 5: Solve for x
    x = 14,922,334.07/4,964.78
  6. Step 6: Final answer
    x = 3,005.64

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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.