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Finding the Fourth Proportional to 3,683.84, 5,525.75 and 1,217.99

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Solution

The fourth proportional to 3,683.84, 5,525.75 and 1,217.99 is: 1,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.84 : 5,525.75 = 1,217.99 : x
  2. Step 2: Convert to fraction form
    3,683.84/5,525.75 = 1,217.99/x
  3. Step 3: Cross multiply
    3,683.84x = 5,525.75 × 1,217.99
  4. Step 4: Simplify right side
    3,683.84x = 6,730,325.10
  5. Step 5: Solve for x
    x = 6,730,325.10/3,683.84
  6. Step 6: Final answer
    x = 1,826.99

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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.