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Finding the Fourth Proportional to 4,090.49, 5,646.02 and 2,412.86

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Solution

The fourth proportional to 4,090.49, 5,646.02 and 2,412.86 is: 3,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.49 : 5,646.02 = 2,412.86 : x
  2. Step 2: Convert to fraction form
    4,090.49/5,646.02 = 2,412.86/x
  3. Step 3: Cross multiply
    4,090.49x = 5,646.02 × 2,412.86
  4. Step 4: Simplify right side
    4,090.49x = 13,623,015.52
  5. Step 5: Solve for x
    x = 13,623,015.52/4,090.49
  6. Step 6: Final answer
    x = 3,330.42

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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.