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Finding the Fourth Proportional to 3,670.75, 5,506.80 and 1,479.70

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Solution

The fourth proportional to 3,670.75, 5,506.80 and 1,479.70 is: 2,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.75 : 5,506.80 = 1,479.70 : x
  2. Step 2: Convert to fraction form
    3,670.75/5,506.80 = 1,479.70/x
  3. Step 3: Cross multiply
    3,670.75x = 5,506.80 × 1,479.70
  4. Step 4: Simplify right side
    3,670.75x = 8,148,411.96
  5. Step 5: Solve for x
    x = 8,148,411.96/3,670.75
  6. Step 6: Final answer
    x = 2,219.82

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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.