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Finding the Fourth Proportional to 3,485.64, 5,228.50 and 888.58

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Solution

The fourth proportional to 3,485.64, 5,228.50 and 888.58 is: 1,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.64 : 5,228.50 = 888.58 : x
  2. Step 2: Convert to fraction form
    3,485.64/5,228.50 = 888.58/x
  3. Step 3: Cross multiply
    3,485.64x = 5,228.50 × 888.58
  4. Step 4: Simplify right side
    3,485.64x = 4,645,940.53
  5. Step 5: Solve for x
    x = 4,645,940.53/3,485.64
  6. Step 6: Final answer
    x = 1,332.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.