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Finding the Fourth Proportional to 5,409.76, 7,465.46 and 3,052.04

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Solution

The fourth proportional to 5,409.76, 7,465.46 and 3,052.04 is: 4,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.76 : 7,465.46 = 3,052.04 : x
  2. Step 2: Convert to fraction form
    5,409.76/7,465.46 = 3,052.04/x
  3. Step 3: Cross multiply
    5,409.76x = 7,465.46 × 3,052.04
  4. Step 4: Simplify right side
    5,409.76x = 22,784,882.54
  5. Step 5: Solve for x
    x = 22,784,882.54/5,409.76
  6. Step 6: Final answer
    x = 4,211.81

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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.