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Finding the Fourth Proportional to 3,648.54, 5,069.73 and 3,602.10

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Solution

The fourth proportional to 3,648.54, 5,069.73 and 3,602.10 is: 5,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.54 : 5,069.73 = 3,602.10 : x
  2. Step 2: Convert to fraction form
    3,648.54/5,069.73 = 3,602.10/x
  3. Step 3: Cross multiply
    3,648.54x = 5,069.73 × 3,602.10
  4. Step 4: Simplify right side
    3,648.54x = 18,261,674.43
  5. Step 5: Solve for x
    x = 18,261,674.43/3,648.54
  6. Step 6: Final answer
    x = 5,005.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.