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Finding the Fourth Proportional to 5,441.36, 7,509.02 and 3,083.60

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Solution

The fourth proportional to 5,441.36, 7,509.02 and 3,083.60 is: 4,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.36 : 7,509.02 = 3,083.60 : x
  2. Step 2: Convert to fraction form
    5,441.36/7,509.02 = 3,083.60/x
  3. Step 3: Cross multiply
    5,441.36x = 7,509.02 × 3,083.60
  4. Step 4: Simplify right side
    5,441.36x = 23,154,814.07
  5. Step 5: Solve for x
    x = 23,154,814.07/5,441.36
  6. Step 6: Final answer
    x = 4,255.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.