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Finding the Fourth Proportional to 5,704.64, 8,554.80 and 2,240

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Solution

The fourth proportional to 5,704.64, 8,554.80 and 2,240 is: 3,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.64 : 8,554.80 = 2,240 : x
  2. Step 2: Convert to fraction form
    5,704.64/8,554.80 = 2,240/x
  3. Step 3: Cross multiply
    5,704.64x = 8,554.80 × 2,240
  4. Step 4: Simplify right side
    5,704.64x = 19,162,752
  5. Step 5: Solve for x
    x = 19,162,752/5,704.64
  6. Step 6: Final answer
    x = 3,359.15

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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.