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Finding the Fourth Proportional to 5,438.64, 8,158.08 and 1,740.92

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Solution

The fourth proportional to 5,438.64, 8,158.08 and 1,740.92 is: 2,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.64 : 8,158.08 = 1,740.92 : x
  2. Step 2: Convert to fraction form
    5,438.64/8,158.08 = 1,740.92/x
  3. Step 3: Cross multiply
    5,438.64x = 8,158.08 × 1,740.92
  4. Step 4: Simplify right side
    5,438.64x = 14,202,564.63
  5. Step 5: Solve for x
    x = 14,202,564.63/5,438.64
  6. Step 6: Final answer
    x = 2,611.42

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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.