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Finding the Fourth Proportional to 3,602.34, 5,409.45 and 2,724.90

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Solution

The fourth proportional to 3,602.34, 5,409.45 and 2,724.90 is: 4,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.34 : 5,409.45 = 2,724.90 : x
  2. Step 2: Convert to fraction form
    3,602.34/5,409.45 = 2,724.90/x
  3. Step 3: Cross multiply
    3,602.34x = 5,409.45 × 2,724.90
  4. Step 4: Simplify right side
    3,602.34x = 14,740,210.31
  5. Step 5: Solve for x
    x = 14,740,210.31/3,602.34
  6. Step 6: Final answer
    x = 4,091.84

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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.