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Finding the Fourth Proportional to 7,199.65, 10,795.40 and 2,980.51

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Solution

The fourth proportional to 7,199.65, 10,795.40 and 2,980.51 is: 4,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.65 : 10,795.40 = 2,980.51 : x
  2. Step 2: Convert to fraction form
    7,199.65/10,795.40 = 2,980.51/x
  3. Step 3: Cross multiply
    7,199.65x = 10,795.40 × 2,980.51
  4. Step 4: Simplify right side
    7,199.65x = 32,175,848.96
  5. Step 5: Solve for x
    x = 32,175,848.96/7,199.65
  6. Step 6: Final answer
    x = 4,469.09

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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.