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Finding the Fourth Proportional to 5,824.71, 8,042.63 and 3,587.63

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Solution

The fourth proportional to 5,824.71, 8,042.63 and 3,587.63 is: 4,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.71 : 8,042.63 = 3,587.63 : x
  2. Step 2: Convert to fraction form
    5,824.71/8,042.63 = 3,587.63/x
  3. Step 3: Cross multiply
    5,824.71x = 8,042.63 × 3,587.63
  4. Step 4: Simplify right side
    5,824.71x = 28,853,922.52
  5. Step 5: Solve for x
    x = 28,853,922.52/5,824.71
  6. Step 6: Final answer
    x = 4,953.71

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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.