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Finding the Fourth Proportional to 5,214, 7,822.28 and 1,566

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Solution

The fourth proportional to 5,214, 7,822.28 and 1,566 is: 2,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 7,822.28 = 1,566 : x
  2. Step 2: Convert to fraction form
    5,214/7,822.28 = 1,566/x
  3. Step 3: Cross multiply
    5,214x = 7,822.28 × 1,566
  4. Step 4: Simplify right side
    5,214x = 12,249,690.48
  5. Step 5: Solve for x
    x = 12,249,690.48/5,214
  6. Step 6: Final answer
    x = 2,349.38

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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.