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Finding the Fourth Proportional to 5,293.94, 7,942.01 and 1,596.51

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Solution

The fourth proportional to 5,293.94, 7,942.01 and 1,596.51 is: 2,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.94 : 7,942.01 = 1,596.51 : x
  2. Step 2: Convert to fraction form
    5,293.94/7,942.01 = 1,596.51/x
  3. Step 3: Cross multiply
    5,293.94x = 7,942.01 × 1,596.51
  4. Step 4: Simplify right side
    5,293.94x = 12,679,490.40
  5. Step 5: Solve for x
    x = 12,679,490.40/5,293.94
  6. Step 6: Final answer
    x = 2,395.10

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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.