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Finding the Fourth Proportional to 3,036.64, 4,190.64 and 1,858.36

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Solution

The fourth proportional to 3,036.64, 4,190.64 and 1,858.36 is: 2,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.64 : 4,190.64 = 1,858.36 : x
  2. Step 2: Convert to fraction form
    3,036.64/4,190.64 = 1,858.36/x
  3. Step 3: Cross multiply
    3,036.64x = 4,190.64 × 1,858.36
  4. Step 4: Simplify right side
    3,036.64x = 7,787,717.75
  5. Step 5: Solve for x
    x = 7,787,717.75/3,036.64
  6. Step 6: Final answer
    x = 2,564.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.