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Finding the Fourth Proportional to 3,611.34, 5,416.40 and 1,014.28

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Solution

The fourth proportional to 3,611.34, 5,416.40 and 1,014.28 is: 1,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.34 : 5,416.40 = 1,014.28 : x
  2. Step 2: Convert to fraction form
    3,611.34/5,416.40 = 1,014.28/x
  3. Step 3: Cross multiply
    3,611.34x = 5,416.40 × 1,014.28
  4. Step 4: Simplify right side
    3,611.34x = 5,493,746.19
  5. Step 5: Solve for x
    x = 5,493,746.19/3,611.34
  6. Step 6: Final answer
    x = 1,521.25

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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.