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Finding the Fourth Proportional to 3,655.54, 5,482.82 and 2,090.46

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Solution

The fourth proportional to 3,655.54, 5,482.82 and 2,090.46 is: 3,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.54 : 5,482.82 = 2,090.46 : x
  2. Step 2: Convert to fraction form
    3,655.54/5,482.82 = 2,090.46/x
  3. Step 3: Cross multiply
    3,655.54x = 5,482.82 × 2,090.46
  4. Step 4: Simplify right side
    3,655.54x = 11,461,615.90
  5. Step 5: Solve for x
    x = 11,461,615.90/3,655.54
  6. Step 6: Final answer
    x = 3,135.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.