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Finding the Fourth Proportional to 4,707.82, 7,061.73 and 2,107.18

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Solution

The fourth proportional to 4,707.82, 7,061.73 and 2,107.18 is: 3,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.82 : 7,061.73 = 2,107.18 : x
  2. Step 2: Convert to fraction form
    4,707.82/7,061.73 = 2,107.18/x
  3. Step 3: Cross multiply
    4,707.82x = 7,061.73 × 2,107.18
  4. Step 4: Simplify right side
    4,707.82x = 14,880,336.22
  5. Step 5: Solve for x
    x = 14,880,336.22/4,707.82
  6. Step 6: Final answer
    x = 3,160.77

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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.