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Finding the Fourth Proportional to 3,584.93, 5,368.75 and 3,174.53

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Solution

The fourth proportional to 3,584.93, 5,368.75 and 3,174.53 is: 4,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.93 : 5,368.75 = 3,174.53 : x
  2. Step 2: Convert to fraction form
    3,584.93/5,368.75 = 3,174.53/x
  3. Step 3: Cross multiply
    3,584.93x = 5,368.75 × 3,174.53
  4. Step 4: Simplify right side
    3,584.93x = 17,043,223.16
  5. Step 5: Solve for x
    x = 17,043,223.16/3,584.93
  6. Step 6: Final answer
    x = 4,754.14

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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.