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Finding the Fourth Proportional to 4,626.82, 6,927.81 and 2,430.91

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Solution

The fourth proportional to 4,626.82, 6,927.81 and 2,430.91 is: 3,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.82 : 6,927.81 = 2,430.91 : x
  2. Step 2: Convert to fraction form
    4,626.82/6,927.81 = 2,430.91/x
  3. Step 3: Cross multiply
    4,626.82x = 6,927.81 × 2,430.91
  4. Step 4: Simplify right side
    4,626.82x = 16,840,882.61
  5. Step 5: Solve for x
    x = 16,840,882.61/4,626.82
  6. Step 6: Final answer
    x = 3,639.84

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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.