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Finding the Fourth Proportional to 4,762.96, 6,569.81 and 2,991.49

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Solution

The fourth proportional to 4,762.96, 6,569.81 and 2,991.49 is: 4,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.96 : 6,569.81 = 2,991.49 : x
  2. Step 2: Convert to fraction form
    4,762.96/6,569.81 = 2,991.49/x
  3. Step 3: Cross multiply
    4,762.96x = 6,569.81 × 2,991.49
  4. Step 4: Simplify right side
    4,762.96x = 19,653,520.92
  5. Step 5: Solve for x
    x = 19,653,520.92/4,762.96
  6. Step 6: Final answer
    x = 4,126.32

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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.