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Finding the Fourth Proportional to 5,009.19, 7,515 and 1,546.44

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Solution

The fourth proportional to 5,009.19, 7,515 and 1,546.44 is: 2,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.19 : 7,515 = 1,546.44 : x
  2. Step 2: Convert to fraction form
    5,009.19/7,515 = 1,546.44/x
  3. Step 3: Cross multiply
    5,009.19x = 7,515 × 1,546.44
  4. Step 4: Simplify right side
    5,009.19x = 11,621,496.60
  5. Step 5: Solve for x
    x = 11,621,496.60/5,009.19
  6. Step 6: Final answer
    x = 2,320.04

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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.