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Finding the Fourth Proportional to 4,322.84, 5,965.16 and 2,433.82

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Solution

The fourth proportional to 4,322.84, 5,965.16 and 2,433.82 is: 3,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.84 : 5,965.16 = 2,433.82 : x
  2. Step 2: Convert to fraction form
    4,322.84/5,965.16 = 2,433.82/x
  3. Step 3: Cross multiply
    4,322.84x = 5,965.16 × 2,433.82
  4. Step 4: Simplify right side
    4,322.84x = 14,518,125.71
  5. Step 5: Solve for x
    x = 14,518,125.71/4,322.84
  6. Step 6: Final answer
    x = 3,358.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.