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Finding the Fourth Proportional to 5,506.06, 7,594.92 and 3,617.74

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Solution

The fourth proportional to 5,506.06, 7,594.92 and 3,617.74 is: 4,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.06 : 7,594.92 = 3,617.74 : x
  2. Step 2: Convert to fraction form
    5,506.06/7,594.92 = 3,617.74/x
  3. Step 3: Cross multiply
    5,506.06x = 7,594.92 × 3,617.74
  4. Step 4: Simplify right side
    5,506.06x = 27,476,445.88
  5. Step 5: Solve for x
    x = 27,476,445.88/5,506.06
  6. Step 6: Final answer
    x = 4,990.22

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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.