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Finding the Fourth Proportional to 3,531.99, 4,877.42 and 2,646.26

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Solution

The fourth proportional to 3,531.99, 4,877.42 and 2,646.26 is: 3,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.99 : 4,877.42 = 2,646.26 : x
  2. Step 2: Convert to fraction form
    3,531.99/4,877.42 = 2,646.26/x
  3. Step 3: Cross multiply
    3,531.99x = 4,877.42 × 2,646.26
  4. Step 4: Simplify right side
    3,531.99x = 12,906,883.83
  5. Step 5: Solve for x
    x = 12,906,883.83/3,531.99
  6. Step 6: Final answer
    x = 3,654.28

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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.