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Finding the Fourth Proportional to 4,178.95, 5,768.22 and 2,411.71

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Solution

The fourth proportional to 4,178.95, 5,768.22 and 2,411.71 is: 3,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.95 : 5,768.22 = 2,411.71 : x
  2. Step 2: Convert to fraction form
    4,178.95/5,768.22 = 2,411.71/x
  3. Step 3: Cross multiply
    4,178.95x = 5,768.22 × 2,411.71
  4. Step 4: Simplify right side
    4,178.95x = 13,911,273.86
  5. Step 5: Solve for x
    x = 13,911,273.86/4,178.95
  6. Step 6: Final answer
    x = 3,328.89

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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.