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Finding the Fourth Proportional to 5,597.07, 7,721.94 and 3,206.41

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Solution

The fourth proportional to 5,597.07, 7,721.94 and 3,206.41 is: 4,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.07 : 7,721.94 = 3,206.41 : x
  2. Step 2: Convert to fraction form
    5,597.07/7,721.94 = 3,206.41/x
  3. Step 3: Cross multiply
    5,597.07x = 7,721.94 × 3,206.41
  4. Step 4: Simplify right side
    5,597.07x = 24,759,705.64
  5. Step 5: Solve for x
    x = 24,759,705.64/5,597.07
  6. Step 6: Final answer
    x = 4,423.69

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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.