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Finding the Fourth Proportional to 3,142.95, 4,708.26 and 2,558.58

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Solution

The fourth proportional to 3,142.95, 4,708.26 and 2,558.58 is: 3,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.95 : 4,708.26 = 2,558.58 : x
  2. Step 2: Convert to fraction form
    3,142.95/4,708.26 = 2,558.58/x
  3. Step 3: Cross multiply
    3,142.95x = 4,708.26 × 2,558.58
  4. Step 4: Simplify right side
    3,142.95x = 12,046,459.87
  5. Step 5: Solve for x
    x = 12,046,459.87/3,142.95
  6. Step 6: Final answer
    x = 3,832.85

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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.