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Finding the Fourth Proportional to 4,546.42, 6,822.60 and 2,356.60

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Solution

The fourth proportional to 4,546.42, 6,822.60 and 2,356.60 is: 3,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.42 : 6,822.60 = 2,356.60 : x
  2. Step 2: Convert to fraction form
    4,546.42/6,822.60 = 2,356.60/x
  3. Step 3: Cross multiply
    4,546.42x = 6,822.60 × 2,356.60
  4. Step 4: Simplify right side
    4,546.42x = 16,078,139.16
  5. Step 5: Solve for x
    x = 16,078,139.16/4,546.42
  6. Step 6: Final answer
    x = 3,536.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.