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Finding the Fourth Proportional to 4,257.76, 5,876.40 and 3,558.88

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Solution

The fourth proportional to 4,257.76, 5,876.40 and 3,558.88 is: 4,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.76 : 5,876.40 = 3,558.88 : x
  2. Step 2: Convert to fraction form
    4,257.76/5,876.40 = 3,558.88/x
  3. Step 3: Cross multiply
    4,257.76x = 5,876.40 × 3,558.88
  4. Step 4: Simplify right side
    4,257.76x = 20,913,402.43
  5. Step 5: Solve for x
    x = 20,913,402.43/4,257.76
  6. Step 6: Final answer
    x = 4,911.83

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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.