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Finding the Fourth Proportional to 4,637.46, 6,948.09 and 3,862.46

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Solution

The fourth proportional to 4,637.46, 6,948.09 and 3,862.46 is: 5,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.46 : 6,948.09 = 3,862.46 : x
  2. Step 2: Convert to fraction form
    4,637.46/6,948.09 = 3,862.46/x
  3. Step 3: Cross multiply
    4,637.46x = 6,948.09 × 3,862.46
  4. Step 4: Simplify right side
    4,637.46x = 26,836,684.96
  5. Step 5: Solve for x
    x = 26,836,684.96/4,637.46
  6. Step 6: Final answer
    x = 5,786.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.