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Finding the Fourth Proportional to 3,538.94, 5,308.71 and 1,199.00

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Solution

The fourth proportional to 3,538.94, 5,308.71 and 1,199.00 is: 1,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.94 : 5,308.71 = 1,199.00 : x
  2. Step 2: Convert to fraction form
    3,538.94/5,308.71 = 1,199.00/x
  3. Step 3: Cross multiply
    3,538.94x = 5,308.71 × 1,199.00
  4. Step 4: Simplify right side
    3,538.94x = 6,365,152.07
  5. Step 5: Solve for x
    x = 6,365,152.07/3,538.94
  6. Step 6: Final answer
    x = 1,798.61

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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.