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Finding the Fourth Proportional to 3,577.38, 4,935.76 and 2,085.01

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Solution

The fourth proportional to 3,577.38, 4,935.76 and 2,085.01 is: 2,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.38 : 4,935.76 = 2,085.01 : x
  2. Step 2: Convert to fraction form
    3,577.38/4,935.76 = 2,085.01/x
  3. Step 3: Cross multiply
    3,577.38x = 4,935.76 × 2,085.01
  4. Step 4: Simplify right side
    3,577.38x = 10,291,097.27
  5. Step 5: Solve for x
    x = 10,291,097.27/3,577.38
  6. Step 6: Final answer
    x = 2,876.71

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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.