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Finding the Fourth Proportional to 5,597.64, 7,722.27 and 3,472.61

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Solution

The fourth proportional to 5,597.64, 7,722.27 and 3,472.61 is: 4,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.64 : 7,722.27 = 3,472.61 : x
  2. Step 2: Convert to fraction form
    5,597.64/7,722.27 = 3,472.61/x
  3. Step 3: Cross multiply
    5,597.64x = 7,722.27 × 3,472.61
  4. Step 4: Simplify right side
    5,597.64x = 26,816,393.41
  5. Step 5: Solve for x
    x = 26,816,393.41/5,597.64
  6. Step 6: Final answer
    x = 4,790.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.