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Finding the Fourth Proportional to 4,178.70, 5,767.88 and 2,411.51

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Solution

The fourth proportional to 4,178.70, 5,767.88 and 2,411.51 is: 3,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.70 : 5,767.88 = 2,411.51 : x
  2. Step 2: Convert to fraction form
    4,178.70/5,767.88 = 2,411.51/x
  3. Step 3: Cross multiply
    4,178.70x = 5,767.88 × 2,411.51
  4. Step 4: Simplify right side
    4,178.70x = 13,909,259.40
  5. Step 5: Solve for x
    x = 13,909,259.40/4,178.70
  6. Step 6: Final answer
    x = 3,328.61

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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.