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Finding the Fourth Proportional to 4,097.36, 6,146.04 and 1,019.36

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Solution

The fourth proportional to 4,097.36, 6,146.04 and 1,019.36 is: 1,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.36 : 6,146.04 = 1,019.36 : x
  2. Step 2: Convert to fraction form
    4,097.36/6,146.04 = 1,019.36/x
  3. Step 3: Cross multiply
    4,097.36x = 6,146.04 × 1,019.36
  4. Step 4: Simplify right side
    4,097.36x = 6,264,991.51
  5. Step 5: Solve for x
    x = 6,264,991.51/4,097.36
  6. Step 6: Final answer
    x = 1,529.03

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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.