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Finding the Fourth Proportional to 3,608.04, 5,412.36 and 1,011

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Solution

The fourth proportional to 3,608.04, 5,412.36 and 1,011 is: 1,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.04 : 5,412.36 = 1,011 : x
  2. Step 2: Convert to fraction form
    3,608.04/5,412.36 = 1,011/x
  3. Step 3: Cross multiply
    3,608.04x = 5,412.36 × 1,011
  4. Step 4: Simplify right side
    3,608.04x = 5,471,895.96
  5. Step 5: Solve for x
    x = 5,471,895.96/3,608.04
  6. Step 6: Final answer
    x = 1,516.58

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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.