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Finding the Fourth Proportional to 5,732.64, 8,597.34 and 2,223

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Solution

The fourth proportional to 5,732.64, 8,597.34 and 2,223 is: 3,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.64 : 8,597.34 = 2,223 : x
  2. Step 2: Convert to fraction form
    5,732.64/8,597.34 = 2,223/x
  3. Step 3: Cross multiply
    5,732.64x = 8,597.34 × 2,223
  4. Step 4: Simplify right side
    5,732.64x = 19,111,886.82
  5. Step 5: Solve for x
    x = 19,111,886.82/5,732.64
  6. Step 6: Final answer
    x = 3,333.87

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1.5x scale

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.