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Finding the Fourth Proportional to 3,804.80, 5,702.34 and 2,507.18

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Solution

The fourth proportional to 3,804.80, 5,702.34 and 2,507.18 is: 3,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.80 : 5,702.34 = 2,507.18 : x
  2. Step 2: Convert to fraction form
    3,804.80/5,702.34 = 2,507.18/x
  3. Step 3: Cross multiply
    3,804.80x = 5,702.34 × 2,507.18
  4. Step 4: Simplify right side
    3,804.80x = 14,296,792.80
  5. Step 5: Solve for x
    x = 14,296,792.80/3,804.80
  6. Step 6: Final answer
    x = 3,757.57

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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.