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Finding the Fourth Proportional to 3,804.09, 5,702.67 and 1,337.55

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Solution

The fourth proportional to 3,804.09, 5,702.67 and 1,337.55 is: 2,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.09 : 5,702.67 = 1,337.55 : x
  2. Step 2: Convert to fraction form
    3,804.09/5,702.67 = 1,337.55/x
  3. Step 3: Cross multiply
    3,804.09x = 5,702.67 × 1,337.55
  4. Step 4: Simplify right side
    3,804.09x = 7,627,606.26
  5. Step 5: Solve for x
    x = 7,627,606.26/3,804.09
  6. Step 6: Final answer
    x = 2,005.11

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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.