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Finding the Fourth Proportional to 4,707.87, 6,497.87 and 3,219.30

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Solution

The fourth proportional to 4,707.87, 6,497.87 and 3,219.30 is: 4,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.87 : 6,497.87 = 3,219.30 : x
  2. Step 2: Convert to fraction form
    4,707.87/6,497.87 = 3,219.30/x
  3. Step 3: Cross multiply
    4,707.87x = 6,497.87 × 3,219.30
  4. Step 4: Simplify right side
    4,707.87x = 20,918,576.79
  5. Step 5: Solve for x
    x = 20,918,576.79/4,707.87
  6. Step 6: Final answer
    x = 4,443.32

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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.