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Finding the Fourth Proportional to 5,182.54, 7,153.80 and 3,507.66

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Solution

The fourth proportional to 5,182.54, 7,153.80 and 3,507.66 is: 4,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.54 : 7,153.80 = 3,507.66 : x
  2. Step 2: Convert to fraction form
    5,182.54/7,153.80 = 3,507.66/x
  3. Step 3: Cross multiply
    5,182.54x = 7,153.80 × 3,507.66
  4. Step 4: Simplify right side
    5,182.54x = 25,093,098.11
  5. Step 5: Solve for x
    x = 25,093,098.11/5,182.54
  6. Step 6: Final answer
    x = 4,841.85

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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.