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Finding the Fourth Proportional to 4,504.66, 6,757.71 and 1,583.06

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Solution

The fourth proportional to 4,504.66, 6,757.71 and 1,583.06 is: 2,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,504.66 : 6,757.71 = 1,583.06 : x
  2. Step 2: Convert to fraction form
    4,504.66/6,757.71 = 1,583.06/x
  3. Step 3: Cross multiply
    4,504.66x = 6,757.71 × 1,583.06
  4. Step 4: Simplify right side
    4,504.66x = 10,697,860.39
  5. Step 5: Solve for x
    x = 10,697,860.39/4,504.66
  6. Step 6: Final answer
    x = 2,374.84

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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.