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Finding the Fourth Proportional to 5,214.65, 7,822.74 and 1,516.40

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Solution

The fourth proportional to 5,214.65, 7,822.74 and 1,516.40 is: 2,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.65 : 7,822.74 = 1,516.40 : x
  2. Step 2: Convert to fraction form
    5,214.65/7,822.74 = 1,516.40/x
  3. Step 3: Cross multiply
    5,214.65x = 7,822.74 × 1,516.40
  4. Step 4: Simplify right side
    5,214.65x = 11,862,422.49
  5. Step 5: Solve for x
    x = 11,862,422.49/5,214.65
  6. Step 6: Final answer
    x = 2,274.83

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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.