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Finding the Fourth Proportional to 4,753.10, 7,129.76 and 1,636.70

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Solution

The fourth proportional to 4,753.10, 7,129.76 and 1,636.70 is: 2,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.10 : 7,129.76 = 1,636.70 : x
  2. Step 2: Convert to fraction form
    4,753.10/7,129.76 = 1,636.70/x
  3. Step 3: Cross multiply
    4,753.10x = 7,129.76 × 1,636.70
  4. Step 4: Simplify right side
    4,753.10x = 11,669,278.19
  5. Step 5: Solve for x
    x = 11,669,278.19/4,753.10
  6. Step 6: Final answer
    x = 2,455.09

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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.