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Finding the Fourth Proportional to 4,586.16, 6,848.16 and 3,601.20

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Solution

The fourth proportional to 4,586.16, 6,848.16 and 3,601.20 is: 5,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.16 : 6,848.16 = 3,601.20 : x
  2. Step 2: Convert to fraction form
    4,586.16/6,848.16 = 3,601.20/x
  3. Step 3: Cross multiply
    4,586.16x = 6,848.16 × 3,601.20
  4. Step 4: Simplify right side
    4,586.16x = 24,661,593.79
  5. Step 5: Solve for x
    x = 24,661,593.79/4,586.16
  6. Step 6: Final answer
    x = 5,377.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.