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Finding the Fourth Proportional to 3,712.56, 5,111.64 and 2,825.52

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Solution

The fourth proportional to 3,712.56, 5,111.64 and 2,825.52 is: 3,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.56 : 5,111.64 = 2,825.52 : x
  2. Step 2: Convert to fraction form
    3,712.56/5,111.64 = 2,825.52/x
  3. Step 3: Cross multiply
    3,712.56x = 5,111.64 × 2,825.52
  4. Step 4: Simplify right side
    3,712.56x = 14,443,041.05
  5. Step 5: Solve for x
    x = 14,443,041.05/3,712.56
  6. Step 6: Final answer
    x = 3,890.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.