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Finding the Fourth Proportional to 3,458.65, 5,185.47 and 1,378.03

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Solution

The fourth proportional to 3,458.65, 5,185.47 and 1,378.03 is: 2,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.65 : 5,185.47 = 1,378.03 : x
  2. Step 2: Convert to fraction form
    3,458.65/5,185.47 = 1,378.03/x
  3. Step 3: Cross multiply
    3,458.65x = 5,185.47 × 1,378.03
  4. Step 4: Simplify right side
    3,458.65x = 7,145,733.22
  5. Step 5: Solve for x
    x = 7,145,733.22/3,458.65
  6. Step 6: Final answer
    x = 2,066.05

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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.