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Finding the Fourth Proportional to 5,922.52, 8,885.25 and 1,762.51

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Solution

The fourth proportional to 5,922.52, 8,885.25 and 1,762.51 is: 2,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.52 : 8,885.25 = 1,762.51 : x
  2. Step 2: Convert to fraction form
    5,922.52/8,885.25 = 1,762.51/x
  3. Step 3: Cross multiply
    5,922.52x = 8,885.25 × 1,762.51
  4. Step 4: Simplify right side
    5,922.52x = 15,660,341.98
  5. Step 5: Solve for x
    x = 15,660,341.98/5,922.52
  6. Step 6: Final answer
    x = 2,644.20

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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.