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Finding the Fourth Proportional to 4,272.50, 5,898.71 and 3,275.86

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Solution

The fourth proportional to 4,272.50, 5,898.71 and 3,275.86 is: 4,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.50 : 5,898.71 = 3,275.86 : x
  2. Step 2: Convert to fraction form
    4,272.50/5,898.71 = 3,275.86/x
  3. Step 3: Cross multiply
    4,272.50x = 5,898.71 × 3,275.86
  4. Step 4: Simplify right side
    4,272.50x = 19,323,341.58
  5. Step 5: Solve for x
    x = 19,323,341.58/4,272.50
  6. Step 6: Final answer
    x = 4,522.73

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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.