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Finding the Fourth Proportional to 4,709.48, 6,500.28 and 2,719.76

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Solution

The fourth proportional to 4,709.48, 6,500.28 and 2,719.76 is: 3,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.48 : 6,500.28 = 2,719.76 : x
  2. Step 2: Convert to fraction form
    4,709.48/6,500.28 = 2,719.76/x
  3. Step 3: Cross multiply
    4,709.48x = 6,500.28 × 2,719.76
  4. Step 4: Simplify right side
    4,709.48x = 17,679,201.53
  5. Step 5: Solve for x
    x = 17,679,201.53/4,709.48
  6. Step 6: Final answer
    x = 3,753.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.