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Finding the Fourth Proportional to 5,506.20, 7,600.04 and 3,409.16

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Solution

The fourth proportional to 5,506.20, 7,600.04 and 3,409.16 is: 4,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.20 : 7,600.04 = 3,409.16 : x
  2. Step 2: Convert to fraction form
    5,506.20/7,600.04 = 3,409.16/x
  3. Step 3: Cross multiply
    5,506.20x = 7,600.04 × 3,409.16
  4. Step 4: Simplify right side
    5,506.20x = 25,909,752.37
  5. Step 5: Solve for x
    x = 25,909,752.37/5,506.20
  6. Step 6: Final answer
    x = 4,705.56

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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.