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Finding the Fourth Proportional to 5,336.42, 8,004.54 and 2,412.68

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Solution

The fourth proportional to 5,336.42, 8,004.54 and 2,412.68 is: 3,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.42 : 8,004.54 = 2,412.68 : x
  2. Step 2: Convert to fraction form
    5,336.42/8,004.54 = 2,412.68/x
  3. Step 3: Cross multiply
    5,336.42x = 8,004.54 × 2,412.68
  4. Step 4: Simplify right side
    5,336.42x = 19,312,393.57
  5. Step 5: Solve for x
    x = 19,312,393.57/5,336.42
  6. Step 6: Final answer
    x = 3,618.98

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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.