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Finding the Fourth Proportional to 3,953.84, 5,931 and 2,424.56

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Solution

The fourth proportional to 3,953.84, 5,931 and 2,424.56 is: 3,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.84 : 5,931 = 2,424.56 : x
  2. Step 2: Convert to fraction form
    3,953.84/5,931 = 2,424.56/x
  3. Step 3: Cross multiply
    3,953.84x = 5,931 × 2,424.56
  4. Step 4: Simplify right side
    3,953.84x = 14,380,065.36
  5. Step 5: Solve for x
    x = 14,380,065.36/3,953.84
  6. Step 6: Final answer
    x = 3,636.99

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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.