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Finding the Fourth Proportional to 3,606.84, 4,977.16 and 2,034.64

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Solution

The fourth proportional to 3,606.84, 4,977.16 and 2,034.64 is: 2,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.84 : 4,977.16 = 2,034.64 : x
  2. Step 2: Convert to fraction form
    3,606.84/4,977.16 = 2,034.64/x
  3. Step 3: Cross multiply
    3,606.84x = 4,977.16 × 2,034.64
  4. Step 4: Simplify right side
    3,606.84x = 10,126,728.82
  5. Step 5: Solve for x
    x = 10,126,728.82/3,606.84
  6. Step 6: Final answer
    x = 2,807.65

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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.