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Finding the Fourth Proportional to 4,702.80, 7,052.13 and 2,361.90

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Solution

The fourth proportional to 4,702.80, 7,052.13 and 2,361.90 is: 3,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.80 : 7,052.13 = 2,361.90 : x
  2. Step 2: Convert to fraction form
    4,702.80/7,052.13 = 2,361.90/x
  3. Step 3: Cross multiply
    4,702.80x = 7,052.13 × 2,361.90
  4. Step 4: Simplify right side
    4,702.80x = 16,656,425.85
  5. Step 5: Solve for x
    x = 16,656,425.85/4,702.80
  6. Step 6: Final answer
    x = 3,541.81

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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.