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Finding the Fourth Proportional to 4,629.47, 6,389.03 and 3,832.57

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Solution

The fourth proportional to 4,629.47, 6,389.03 and 3,832.57 is: 5,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.47 : 6,389.03 = 3,832.57 : x
  2. Step 2: Convert to fraction form
    4,629.47/6,389.03 = 3,832.57/x
  3. Step 3: Cross multiply
    4,629.47x = 6,389.03 × 3,832.57
  4. Step 4: Simplify right side
    4,629.47x = 24,486,404.71
  5. Step 5: Solve for x
    x = 24,486,404.71/4,629.47
  6. Step 6: Final answer
    x = 5,289.25

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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.