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Finding the Fourth Proportional to 3,683.40, 5,526.06 and 1,218.60

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Solution

The fourth proportional to 3,683.40, 5,526.06 and 1,218.60 is: 1,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.40 : 5,526.06 = 1,218.60 : x
  2. Step 2: Convert to fraction form
    3,683.40/5,526.06 = 1,218.60/x
  3. Step 3: Cross multiply
    3,683.40x = 5,526.06 × 1,218.60
  4. Step 4: Simplify right side
    3,683.40x = 6,734,056.72
  5. Step 5: Solve for x
    x = 6,734,056.72/3,683.40
  6. Step 6: Final answer
    x = 1,828.22

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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.