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Finding the Fourth Proportional to 3,365.48, 5,048.52 and 900.32

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Solution

The fourth proportional to 3,365.48, 5,048.52 and 900.32 is: 1,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.48 : 5,048.52 = 900.32 : x
  2. Step 2: Convert to fraction form
    3,365.48/5,048.52 = 900.32/x
  3. Step 3: Cross multiply
    3,365.48x = 5,048.52 × 900.32
  4. Step 4: Simplify right side
    3,365.48x = 4,545,283.53
  5. Step 5: Solve for x
    x = 4,545,283.53/3,365.48
  6. Step 6: Final answer
    x = 1,350.56

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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.