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Finding the Fourth Proportional to 3,804.14, 5,702.16 and 1,953.30

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Solution

The fourth proportional to 3,804.14, 5,702.16 and 1,953.30 is: 2,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.14 : 5,702.16 = 1,953.30 : x
  2. Step 2: Convert to fraction form
    3,804.14/5,702.16 = 1,953.30/x
  3. Step 3: Cross multiply
    3,804.14x = 5,702.16 × 1,953.30
  4. Step 4: Simplify right side
    3,804.14x = 11,138,029.13
  5. Step 5: Solve for x
    x = 11,138,029.13/3,804.14
  6. Step 6: Final answer
    x = 2,927.87

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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.