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Finding the Fourth Proportional to 4,562.42, 6,289.70 and 3,444.62

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Solution

The fourth proportional to 4,562.42, 6,289.70 and 3,444.62 is: 4,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.42 : 6,289.70 = 3,444.62 : x
  2. Step 2: Convert to fraction form
    4,562.42/6,289.70 = 3,444.62/x
  3. Step 3: Cross multiply
    4,562.42x = 6,289.70 × 3,444.62
  4. Step 4: Simplify right side
    4,562.42x = 21,665,577.74
  5. Step 5: Solve for x
    x = 21,665,577.74/4,562.42
  6. Step 6: Final answer
    x = 4,748.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.