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Finding the Fourth Proportional to 5,930.16, 8,902.80 and 4,836.66

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Solution

The fourth proportional to 5,930.16, 8,902.80 and 4,836.66 is: 7,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.16 : 8,902.80 = 4,836.66 : x
  2. Step 2: Convert to fraction form
    5,930.16/8,902.80 = 4,836.66/x
  3. Step 3: Cross multiply
    5,930.16x = 8,902.80 × 4,836.66
  4. Step 4: Simplify right side
    5,930.16x = 43,059,816.65
  5. Step 5: Solve for x
    x = 43,059,816.65/5,930.16
  6. Step 6: Final answer
    x = 7,261.16

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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.