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Finding the Fourth Proportional to 3,357.69, 5,033.16 and 1,277.16

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Solution

The fourth proportional to 3,357.69, 5,033.16 and 1,277.16 is: 1,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.69 : 5,033.16 = 1,277.16 : x
  2. Step 2: Convert to fraction form
    3,357.69/5,033.16 = 1,277.16/x
  3. Step 3: Cross multiply
    3,357.69x = 5,033.16 × 1,277.16
  4. Step 4: Simplify right side
    3,357.69x = 6,428,150.63
  5. Step 5: Solve for x
    x = 6,428,150.63/3,357.69
  6. Step 6: Final answer
    x = 1,914.46

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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.