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Finding the Fourth Proportional to 4,709.54, 6,497.28 and 2,719.71

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Solution

The fourth proportional to 4,709.54, 6,497.28 and 2,719.71 is: 3,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.54 : 6,497.28 = 2,719.71 : x
  2. Step 2: Convert to fraction form
    4,709.54/6,497.28 = 2,719.71/x
  3. Step 3: Cross multiply
    4,709.54x = 6,497.28 × 2,719.71
  4. Step 4: Simplify right side
    4,709.54x = 17,670,717.39
  5. Step 5: Solve for x
    x = 17,670,717.39/4,709.54
  6. Step 6: Final answer
    x = 3,752.11

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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.