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Finding the Fourth Proportional to 3,365.07, 5,047.23 and 900.11

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Solution

The fourth proportional to 3,365.07, 5,047.23 and 900.11 is: 1,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.07 : 5,047.23 = 900.11 : x
  2. Step 2: Convert to fraction form
    3,365.07/5,047.23 = 900.11/x
  3. Step 3: Cross multiply
    3,365.07x = 5,047.23 × 900.11
  4. Step 4: Simplify right side
    3,365.07x = 4,543,036.96
  5. Step 5: Solve for x
    x = 4,543,036.96/3,365.07
  6. Step 6: Final answer
    x = 1,350.06

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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.