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Finding the Fourth Proportional to 3,577.16, 4,935.84 and 2,004.68

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Solution

The fourth proportional to 3,577.16, 4,935.84 and 2,004.68 is: 2,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.16 : 4,935.84 = 2,004.68 : x
  2. Step 2: Convert to fraction form
    3,577.16/4,935.84 = 2,004.68/x
  3. Step 3: Cross multiply
    3,577.16x = 4,935.84 × 2,004.68
  4. Step 4: Simplify right side
    3,577.16x = 9,894,779.73
  5. Step 5: Solve for x
    x = 9,894,779.73/3,577.16
  6. Step 6: Final answer
    x = 2,766.10

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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.