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Finding the Fourth Proportional to 5,504.74, 8,261.16 and 3,165.88

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Solution

The fourth proportional to 5,504.74, 8,261.16 and 3,165.88 is: 4,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.74 : 8,261.16 = 3,165.88 : x
  2. Step 2: Convert to fraction form
    5,504.74/8,261.16 = 3,165.88/x
  3. Step 3: Cross multiply
    5,504.74x = 8,261.16 × 3,165.88
  4. Step 4: Simplify right side
    5,504.74x = 26,153,841.22
  5. Step 5: Solve for x
    x = 26,153,841.22/5,504.74
  6. Step 6: Final answer
    x = 4,751.15

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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.