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Finding the Fourth Proportional to 5,829.71, 8,682.73 and 5,801.46

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Solution

The fourth proportional to 5,829.71, 8,682.73 and 5,801.46 is: 8,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.71 : 8,682.73 = 5,801.46 : x
  2. Step 2: Convert to fraction form
    5,829.71/8,682.73 = 5,801.46/x
  3. Step 3: Cross multiply
    5,829.71x = 8,682.73 × 5,801.46
  4. Step 4: Simplify right side
    5,829.71x = 50,372,510.79
  5. Step 5: Solve for x
    x = 50,372,510.79/5,829.71
  6. Step 6: Final answer
    x = 8,640.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.