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Finding the Fourth Proportional to 3,405.45, 5,101.02 and 1,647.93

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Solution

The fourth proportional to 3,405.45, 5,101.02 and 1,647.93 is: 2,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.45 : 5,101.02 = 1,647.93 : x
  2. Step 2: Convert to fraction form
    3,405.45/5,101.02 = 1,647.93/x
  3. Step 3: Cross multiply
    3,405.45x = 5,101.02 × 1,647.93
  4. Step 4: Simplify right side
    3,405.45x = 8,406,123.89
  5. Step 5: Solve for x
    x = 8,406,123.89/3,405.45
  6. Step 6: Final answer
    x = 2,468.43

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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.