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Finding the Fourth Proportional to 3,157.70, 4,736.55 and 2,927.30

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Solution

The fourth proportional to 3,157.70, 4,736.55 and 2,927.30 is: 4,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.70 : 4,736.55 = 2,927.30 : x
  2. Step 2: Convert to fraction form
    3,157.70/4,736.55 = 2,927.30/x
  3. Step 3: Cross multiply
    3,157.70x = 4,736.55 × 2,927.30
  4. Step 4: Simplify right side
    3,157.70x = 13,865,302.82
  5. Step 5: Solve for x
    x = 13,865,302.82/3,157.70
  6. Step 6: Final answer
    x = 4,390.95

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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.