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Finding the Fourth Proportional to 5,289.57, 7,934.31 and 2,953.08

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Solution

The fourth proportional to 5,289.57, 7,934.31 and 2,953.08 is: 4,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.57 : 7,934.31 = 2,953.08 : x
  2. Step 2: Convert to fraction form
    5,289.57/7,934.31 = 2,953.08/x
  3. Step 3: Cross multiply
    5,289.57x = 7,934.31 × 2,953.08
  4. Step 4: Simplify right side
    5,289.57x = 23,430,652.17
  5. Step 5: Solve for x
    x = 23,430,652.17/5,289.57
  6. Step 6: Final answer
    x = 4,429.59

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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.