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Finding the Fourth Proportional to 4,346.75, 6,002.42 and 2,777.58

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Solution

The fourth proportional to 4,346.75, 6,002.42 and 2,777.58 is: 3,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.75 : 6,002.42 = 2,777.58 : x
  2. Step 2: Convert to fraction form
    4,346.75/6,002.42 = 2,777.58/x
  3. Step 3: Cross multiply
    4,346.75x = 6,002.42 × 2,777.58
  4. Step 4: Simplify right side
    4,346.75x = 16,672,157.84
  5. Step 5: Solve for x
    x = 16,672,157.84/4,346.75
  6. Step 6: Final answer
    x = 3,835.55

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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.