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Finding the Fourth Proportional to 3,797.70, 5,702.72 and 2,346.08

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Solution

The fourth proportional to 3,797.70, 5,702.72 and 2,346.08 is: 3,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.70 : 5,702.72 = 2,346.08 : x
  2. Step 2: Convert to fraction form
    3,797.70/5,702.72 = 2,346.08/x
  3. Step 3: Cross multiply
    3,797.70x = 5,702.72 × 2,346.08
  4. Step 4: Simplify right side
    3,797.70x = 13,379,037.34
  5. Step 5: Solve for x
    x = 13,379,037.34/3,797.70
  6. Step 6: Final answer
    x = 3,522.93

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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.