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Finding the Fourth Proportional to 4,702.33, 7,052.60 and 2,361.70

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Solution

The fourth proportional to 4,702.33, 7,052.60 and 2,361.70 is: 3,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.33 : 7,052.60 = 2,361.70 : x
  2. Step 2: Convert to fraction form
    4,702.33/7,052.60 = 2,361.70/x
  3. Step 3: Cross multiply
    4,702.33x = 7,052.60 × 2,361.70
  4. Step 4: Simplify right side
    4,702.33x = 16,656,125.42
  5. Step 5: Solve for x
    x = 16,656,125.42/4,702.33
  6. Step 6: Final answer
    x = 3,542.10

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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.