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Finding the Fourth Proportional to 3,805.53, 5,710.31 and 2,702.08

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Solution

The fourth proportional to 3,805.53, 5,710.31 and 2,702.08 is: 4,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.53 : 5,710.31 = 2,702.08 : x
  2. Step 2: Convert to fraction form
    3,805.53/5,710.31 = 2,702.08/x
  3. Step 3: Cross multiply
    3,805.53x = 5,710.31 × 2,702.08
  4. Step 4: Simplify right side
    3,805.53x = 15,429,672.38
  5. Step 5: Solve for x
    x = 15,429,672.38/3,805.53
  6. Step 6: Final answer
    x = 4,054.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.