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Finding the Fourth Proportional to 4,626.72, 6,943.72 and 1,707.07

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Solution

The fourth proportional to 4,626.72, 6,943.72 and 1,707.07 is: 2,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.72 : 6,943.72 = 1,707.07 : x
  2. Step 2: Convert to fraction form
    4,626.72/6,943.72 = 1,707.07/x
  3. Step 3: Cross multiply
    4,626.72x = 6,943.72 × 1,707.07
  4. Step 4: Simplify right side
    4,626.72x = 11,853,416.10
  5. Step 5: Solve for x
    x = 11,853,416.10/4,626.72
  6. Step 6: Final answer
    x = 2,561.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.