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Finding the Fourth Proportional to 3,683.34, 5,492.65 and 3,650.53

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Solution

The fourth proportional to 3,683.34, 5,492.65 and 3,650.53 is: 5,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.34 : 5,492.65 = 3,650.53 : x
  2. Step 2: Convert to fraction form
    3,683.34/5,492.65 = 3,650.53/x
  3. Step 3: Cross multiply
    3,683.34x = 5,492.65 × 3,650.53
  4. Step 4: Simplify right side
    3,683.34x = 20,051,083.60
  5. Step 5: Solve for x
    x = 20,051,083.60/3,683.34
  6. Step 6: Final answer
    x = 5,443.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.