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Finding the Fourth Proportional to 4,639.68, 6,946.56 and 3,862.08

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Solution

The fourth proportional to 4,639.68, 6,946.56 and 3,862.08 is: 5,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.68 : 6,946.56 = 3,862.08 : x
  2. Step 2: Convert to fraction form
    4,639.68/6,946.56 = 3,862.08/x
  3. Step 3: Cross multiply
    4,639.68x = 6,946.56 × 3,862.08
  4. Step 4: Simplify right side
    4,639.68x = 26,828,170.44
  5. Step 5: Solve for x
    x = 26,828,170.44/4,639.68
  6. Step 6: Final answer
    x = 5,782.33

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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.