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Finding the Fourth Proportional to 4,690.65, 7,019.49 and 3,706.50

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Solution

The fourth proportional to 4,690.65, 7,019.49 and 3,706.50 is: 5,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.65 : 7,019.49 = 3,706.50 : x
  2. Step 2: Convert to fraction form
    4,690.65/7,019.49 = 3,706.50/x
  3. Step 3: Cross multiply
    4,690.65x = 7,019.49 × 3,706.50
  4. Step 4: Simplify right side
    4,690.65x = 26,017,739.69
  5. Step 5: Solve for x
    x = 26,017,739.69/4,690.65
  6. Step 6: Final answer
    x = 5,546.72

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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.