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Finding the Fourth Proportional to 4,490.64, 6,736.44 and 1,568.48

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Solution

The fourth proportional to 4,490.64, 6,736.44 and 1,568.48 is: 2,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.64 : 6,736.44 = 1,568.48 : x
  2. Step 2: Convert to fraction form
    4,490.64/6,736.44 = 1,568.48/x
  3. Step 3: Cross multiply
    4,490.64x = 6,736.44 × 1,568.48
  4. Step 4: Simplify right side
    4,490.64x = 10,565,971.41
  5. Step 5: Solve for x
    x = 10,565,971.41/4,490.64
  6. Step 6: Final answer
    x = 2,352.89

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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.