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Finding the Fourth Proportional to 5,983.54, 8,256.33 and 3,465.88

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Solution

The fourth proportional to 5,983.54, 8,256.33 and 3,465.88 is: 4,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.54 : 8,256.33 = 3,465.88 : x
  2. Step 2: Convert to fraction form
    5,983.54/8,256.33 = 3,465.88/x
  3. Step 3: Cross multiply
    5,983.54x = 8,256.33 × 3,465.88
  4. Step 4: Simplify right side
    5,983.54x = 28,615,428.38
  5. Step 5: Solve for x
    x = 28,615,428.38/5,983.54
  6. Step 6: Final answer
    x = 4,782.36

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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.