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Finding the Fourth Proportional to 5,957.40, 8,936.10 and 5,410.65

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Solution

The fourth proportional to 5,957.40, 8,936.10 and 5,410.65 is: 8,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.40 : 8,936.10 = 5,410.65 : x
  2. Step 2: Convert to fraction form
    5,957.40/8,936.10 = 5,410.65/x
  3. Step 3: Cross multiply
    5,957.40x = 8,936.10 × 5,410.65
  4. Step 4: Simplify right side
    5,957.40x = 48,350,109.47
  5. Step 5: Solve for x
    x = 48,350,109.47/5,957.40
  6. Step 6: Final answer
    x = 8,115.98

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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.