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Finding the Fourth Proportional to 5,179.74, 7,769.88 and 1,482.51

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Solution

The fourth proportional to 5,179.74, 7,769.88 and 1,482.51 is: 2,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.74 : 7,769.88 = 1,482.51 : x
  2. Step 2: Convert to fraction form
    5,179.74/7,769.88 = 1,482.51/x
  3. Step 3: Cross multiply
    5,179.74x = 7,769.88 × 1,482.51
  4. Step 4: Simplify right side
    5,179.74x = 11,518,917.39
  5. Step 5: Solve for x
    x = 11,518,917.39/5,179.74
  6. Step 6: Final answer
    x = 2,223.84

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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.