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Finding the Fourth Proportional to 4,620.42, 6,921.45 and 4,242.42

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Solution

The fourth proportional to 4,620.42, 6,921.45 and 4,242.42 is: 6,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.42 : 6,921.45 = 4,242.42 : x
  2. Step 2: Convert to fraction form
    4,620.42/6,921.45 = 4,242.42/x
  3. Step 3: Cross multiply
    4,620.42x = 6,921.45 × 4,242.42
  4. Step 4: Simplify right side
    4,620.42x = 29,363,697.91
  5. Step 5: Solve for x
    x = 29,363,697.91/4,620.42
  6. Step 6: Final answer
    x = 6,355.20

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