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Finding the Fourth Proportional to 4,090.83, 5,643.68 and 2,849.55

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Solution

The fourth proportional to 4,090.83, 5,643.68 and 2,849.55 is: 3,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.83 : 5,643.68 = 2,849.55 : x
  2. Step 2: Convert to fraction form
    4,090.83/5,643.68 = 2,849.55/x
  3. Step 3: Cross multiply
    4,090.83x = 5,643.68 × 2,849.55
  4. Step 4: Simplify right side
    4,090.83x = 16,081,934.10
  5. Step 5: Solve for x
    x = 16,081,934.10/4,090.83
  6. Step 6: Final answer
    x = 3,931.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.