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Finding the Fourth Proportional to 3,597.78, 4,964.99 and 2,106.57

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Solution

The fourth proportional to 3,597.78, 4,964.99 and 2,106.57 is: 2,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.78 : 4,964.99 = 2,106.57 : x
  2. Step 2: Convert to fraction form
    3,597.78/4,964.99 = 2,106.57/x
  3. Step 3: Cross multiply
    3,597.78x = 4,964.99 × 2,106.57
  4. Step 4: Simplify right side
    3,597.78x = 10,459,088.45
  5. Step 5: Solve for x
    x = 10,459,088.45/3,597.78
  6. Step 6: Final answer
    x = 2,907.10

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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.