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Finding the Fourth Proportional to 5,746.16, 7,936.38 and 4,600.35

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Solution

The fourth proportional to 5,746.16, 7,936.38 and 4,600.35 is: 6,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.16 : 7,936.38 = 4,600.35 : x
  2. Step 2: Convert to fraction form
    5,746.16/7,936.38 = 4,600.35/x
  3. Step 3: Cross multiply
    5,746.16x = 7,936.38 × 4,600.35
  4. Step 4: Simplify right side
    5,746.16x = 36,510,125.73
  5. Step 5: Solve for x
    x = 36,510,125.73/5,746.16
  6. Step 6: Final answer
    x = 6,353.83

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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.