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Finding the Fourth Proportional to 4,736.34, 7,102.01 and 2,102.70

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Solution

The fourth proportional to 4,736.34, 7,102.01 and 2,102.70 is: 3,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.34 : 7,102.01 = 2,102.70 : x
  2. Step 2: Convert to fraction form
    4,736.34/7,102.01 = 2,102.70/x
  3. Step 3: Cross multiply
    4,736.34x = 7,102.01 × 2,102.70
  4. Step 4: Simplify right side
    4,736.34x = 14,933,385.91
  5. Step 5: Solve for x
    x = 14,933,385.91/4,736.34
  6. Step 6: Final answer
    x = 3,152.94

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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.