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Finding the Fourth Proportional to 3,485.71, 5,228.84 and 888.63

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Solution

The fourth proportional to 3,485.71, 5,228.84 and 888.63 is: 1,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.71 : 5,228.84 = 888.63 : x
  2. Step 2: Convert to fraction form
    3,485.71/5,228.84 = 888.63/x
  3. Step 3: Cross multiply
    3,485.71x = 5,228.84 × 888.63
  4. Step 4: Simplify right side
    3,485.71x = 4,646,504.09
  5. Step 5: Solve for x
    x = 4,646,504.09/3,485.71
  6. Step 6: Final answer
    x = 1,333.02

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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.