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Finding the Fourth Proportional to 5,983, 8,256.54 and 3,499

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Solution

The fourth proportional to 5,983, 8,256.54 and 3,499 is: 4,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983 : 8,256.54 = 3,499 : x
  2. Step 2: Convert to fraction form
    5,983/8,256.54 = 3,499/x
  3. Step 3: Cross multiply
    5,983x = 8,256.54 × 3,499
  4. Step 4: Simplify right side
    5,983x = 28,889,633.46
  5. Step 5: Solve for x
    x = 28,889,633.46/5,983
  6. Step 6: Final answer
    x = 4,828.62

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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.