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Finding the Fourth Proportional to 3,565.40, 5,342.70 and 3,014.60

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Solution

The fourth proportional to 3,565.40, 5,342.70 and 3,014.60 is: 4,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.40 : 5,342.70 = 3,014.60 : x
  2. Step 2: Convert to fraction form
    3,565.40/5,342.70 = 3,014.60/x
  3. Step 3: Cross multiply
    3,565.40x = 5,342.70 × 3,014.60
  4. Step 4: Simplify right side
    3,565.40x = 16,106,103.42
  5. Step 5: Solve for x
    x = 16,106,103.42/3,565.40
  6. Step 6: Final answer
    x = 4,517.33

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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.