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Finding the Fourth Proportional to 4,789.64, 7,184.00 and 1,502.78

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Solution

The fourth proportional to 4,789.64, 7,184.00 and 1,502.78 is: 2,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.64 : 7,184.00 = 1,502.78 : x
  2. Step 2: Convert to fraction form
    4,789.64/7,184.00 = 1,502.78/x
  3. Step 3: Cross multiply
    4,789.64x = 7,184.00 × 1,502.78
  4. Step 4: Simplify right side
    4,789.64x = 10,795,928.09
  5. Step 5: Solve for x
    x = 10,795,928.09/4,789.64
  6. Step 6: Final answer
    x = 2,254.02

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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.