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Finding the Fourth Proportional to 4,598.37, 6,311.72 and 4,352.33

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Solution

The fourth proportional to 4,598.37, 6,311.72 and 4,352.33 is: 5,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.37 : 6,311.72 = 4,352.33 : x
  2. Step 2: Convert to fraction form
    4,598.37/6,311.72 = 4,352.33/x
  3. Step 3: Cross multiply
    4,598.37x = 6,311.72 × 4,352.33
  4. Step 4: Simplify right side
    4,598.37x = 27,470,714.97
  5. Step 5: Solve for x
    x = 27,470,714.97/4,598.37
  6. Step 6: Final answer
    x = 5,974.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.