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Finding the Fourth Proportional to 3,855.42, 5,785.56 and 2,397.42

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Solution

The fourth proportional to 3,855.42, 5,785.56 and 2,397.42 is: 3,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.42 : 5,785.56 = 2,397.42 : x
  2. Step 2: Convert to fraction form
    3,855.42/5,785.56 = 2,397.42/x
  3. Step 3: Cross multiply
    3,855.42x = 5,785.56 × 2,397.42
  4. Step 4: Simplify right side
    3,855.42x = 13,870,417.26
  5. Step 5: Solve for x
    x = 13,870,417.26/3,855.42
  6. Step 6: Final answer
    x = 3,597.64

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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.