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Finding the Fourth Proportional to 6,148.71, 8,484.75 and 3,496.23

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Solution

The fourth proportional to 6,148.71, 8,484.75 and 3,496.23 is: 4,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.71 : 8,484.75 = 3,496.23 : x
  2. Step 2: Convert to fraction form
    6,148.71/8,484.75 = 3,496.23/x
  3. Step 3: Cross multiply
    6,148.71x = 8,484.75 × 3,496.23
  4. Step 4: Simplify right side
    6,148.71x = 29,664,637.49
  5. Step 5: Solve for x
    x = 29,664,637.49/6,148.71
  6. Step 6: Final answer
    x = 4,824.53

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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.