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Finding the Fourth Proportional to 5,312.06, 7,969 and 1,614.66

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Solution

The fourth proportional to 5,312.06, 7,969 and 1,614.66 is: 2,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.06 : 7,969 = 1,614.66 : x
  2. Step 2: Convert to fraction form
    5,312.06/7,969 = 1,614.66/x
  3. Step 3: Cross multiply
    5,312.06x = 7,969 × 1,614.66
  4. Step 4: Simplify right side
    5,312.06x = 12,867,225.54
  5. Step 5: Solve for x
    x = 12,867,225.54/5,312.06
  6. Step 6: Final answer
    x = 2,422.27

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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.