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Finding the Fourth Proportional to 4,762.91, 6,570.62 and 3,084.87

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Solution

The fourth proportional to 4,762.91, 6,570.62 and 3,084.87 is: 4,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.91 : 6,570.62 = 3,084.87 : x
  2. Step 2: Convert to fraction form
    4,762.91/6,570.62 = 3,084.87/x
  3. Step 3: Cross multiply
    4,762.91x = 6,570.62 × 3,084.87
  4. Step 4: Simplify right side
    4,762.91x = 20,269,493.10
  5. Step 5: Solve for x
    x = 20,269,493.10/4,762.91
  6. Step 6: Final answer
    x = 4,255.70

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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.