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Finding the Fourth Proportional to 4,762.74, 6,572.43 and 2,638.19

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Solution

The fourth proportional to 4,762.74, 6,572.43 and 2,638.19 is: 3,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.74 : 6,572.43 = 2,638.19 : x
  2. Step 2: Convert to fraction form
    4,762.74/6,572.43 = 2,638.19/x
  3. Step 3: Cross multiply
    4,762.74x = 6,572.43 × 2,638.19
  4. Step 4: Simplify right side
    4,762.74x = 17,339,292.84
  5. Step 5: Solve for x
    x = 17,339,292.84/4,762.74
  6. Step 6: Final answer
    x = 3,640.61

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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.