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Finding the Fourth Proportional to 5,312.28, 7,968.42 and 1,614.54

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Solution

The fourth proportional to 5,312.28, 7,968.42 and 1,614.54 is: 2,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.28 : 7,968.42 = 1,614.54 : x
  2. Step 2: Convert to fraction form
    5,312.28/7,968.42 = 1,614.54/x
  3. Step 3: Cross multiply
    5,312.28x = 7,968.42 × 1,614.54
  4. Step 4: Simplify right side
    5,312.28x = 12,865,332.83
  5. Step 5: Solve for x
    x = 12,865,332.83/5,312.28
  6. Step 6: Final answer
    x = 2,421.81

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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.