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Finding the Fourth Proportional to 4,139.58, 5,712.60 and 2,276.58

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Solution

The fourth proportional to 4,139.58, 5,712.60 and 2,276.58 is: 3,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.58 : 5,712.60 = 2,276.58 : x
  2. Step 2: Convert to fraction form
    4,139.58/5,712.60 = 2,276.58/x
  3. Step 3: Cross multiply
    4,139.58x = 5,712.60 × 2,276.58
  4. Step 4: Simplify right side
    4,139.58x = 13,005,190.91
  5. Step 5: Solve for x
    x = 13,005,190.91/4,139.58
  6. Step 6: Final answer
    x = 3,141.67

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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.