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Finding the Fourth Proportional to 4,616.70, 6,927.07 and 2,424.93

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Solution

The fourth proportional to 4,616.70, 6,927.07 and 2,424.93 is: 3,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.70 : 6,927.07 = 2,424.93 : x
  2. Step 2: Convert to fraction form
    4,616.70/6,927.07 = 2,424.93/x
  3. Step 3: Cross multiply
    4,616.70x = 6,927.07 × 2,424.93
  4. Step 4: Simplify right side
    4,616.70x = 16,797,659.86
  5. Step 5: Solve for x
    x = 16,797,659.86/4,616.70
  6. Step 6: Final answer
    x = 3,638.46

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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.