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Finding the Fourth Proportional to 3,504.36, 5,255.90 and 907.14

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Solution

The fourth proportional to 3,504.36, 5,255.90 and 907.14 is: 1,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.36 : 5,255.90 = 907.14 : x
  2. Step 2: Convert to fraction form
    3,504.36/5,255.90 = 907.14/x
  3. Step 3: Cross multiply
    3,504.36x = 5,255.90 × 907.14
  4. Step 4: Simplify right side
    3,504.36x = 4,767,837.13
  5. Step 5: Solve for x
    x = 4,767,837.13/3,504.36
  6. Step 6: Final answer
    x = 1,360.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.