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Finding the Fourth Proportional to 3,597.89, 4,964.10 and 2,106.17

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Solution

The fourth proportional to 3,597.89, 4,964.10 and 2,106.17 is: 2,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.89 : 4,964.10 = 2,106.17 : x
  2. Step 2: Convert to fraction form
    3,597.89/4,964.10 = 2,106.17/x
  3. Step 3: Cross multiply
    3,597.89x = 4,964.10 × 2,106.17
  4. Step 4: Simplify right side
    3,597.89x = 10,455,213.68
  5. Step 5: Solve for x
    x = 10,455,213.68/3,597.89
  6. Step 6: Final answer
    x = 2,905.93

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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.