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Finding the Fourth Proportional to 4,760.22, 6,569.12 and 2,635.81

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Solution

The fourth proportional to 4,760.22, 6,569.12 and 2,635.81 is: 3,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.22 : 6,569.12 = 2,635.81 : x
  2. Step 2: Convert to fraction form
    4,760.22/6,569.12 = 2,635.81/x
  3. Step 3: Cross multiply
    4,760.22x = 6,569.12 × 2,635.81
  4. Step 4: Simplify right side
    4,760.22x = 17,314,966.99
  5. Step 5: Solve for x
    x = 17,314,966.99/4,760.22
  6. Step 6: Final answer
    x = 3,637.43

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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.