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Finding the Fourth Proportional to 3,615.81, 5,419.14 and 1,858.32

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Solution

The fourth proportional to 3,615.81, 5,419.14 and 1,858.32 is: 2,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.81 : 5,419.14 = 1,858.32 : x
  2. Step 2: Convert to fraction form
    3,615.81/5,419.14 = 1,858.32/x
  3. Step 3: Cross multiply
    3,615.81x = 5,419.14 × 1,858.32
  4. Step 4: Simplify right side
    3,615.81x = 10,070,496.24
  5. Step 5: Solve for x
    x = 10,070,496.24/3,615.81
  6. Step 6: Final answer
    x = 2,785.13

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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.