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Finding the Fourth Proportional to 5,294.76, 7,942.88 and 1,596.57

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Solution

The fourth proportional to 5,294.76, 7,942.88 and 1,596.57 is: 2,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.76 : 7,942.88 = 1,596.57 : x
  2. Step 2: Convert to fraction form
    5,294.76/7,942.88 = 1,596.57/x
  3. Step 3: Cross multiply
    5,294.76x = 7,942.88 × 1,596.57
  4. Step 4: Simplify right side
    5,294.76x = 12,681,363.92
  5. Step 5: Solve for x
    x = 12,681,363.92/5,294.76
  6. Step 6: Final answer
    x = 2,395.08

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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.