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Finding the Fourth Proportional to 4,705.88, 6,479.28 and 3,583.22

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Solution

The fourth proportional to 4,705.88, 6,479.28 and 3,583.22 is: 4,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.88 : 6,479.28 = 3,583.22 : x
  2. Step 2: Convert to fraction form
    4,705.88/6,479.28 = 3,583.22/x
  3. Step 3: Cross multiply
    4,705.88x = 6,479.28 × 3,583.22
  4. Step 4: Simplify right side
    4,705.88x = 23,216,685.68
  5. Step 5: Solve for x
    x = 23,216,685.68/4,705.88
  6. Step 6: Final answer
    x = 4,933.55

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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.