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Finding the Fourth Proportional to 3,365.23, 5,047.46 and 900.25

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Solution

The fourth proportional to 3,365.23, 5,047.46 and 900.25 is: 1,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.23 : 5,047.46 = 900.25 : x
  2. Step 2: Convert to fraction form
    3,365.23/5,047.46 = 900.25/x
  3. Step 3: Cross multiply
    3,365.23x = 5,047.46 × 900.25
  4. Step 4: Simplify right side
    3,365.23x = 4,543,950.63
  5. Step 5: Solve for x
    x = 4,543,950.63/3,365.23
  6. Step 6: Final answer
    x = 1,350.26

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1.5x scale

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.