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Finding the Fourth Proportional to 3,683.64, 5,082.60 and 3,088.54

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Solution

The fourth proportional to 3,683.64, 5,082.60 and 3,088.54 is: 4,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.64 : 5,082.60 = 3,088.54 : x
  2. Step 2: Convert to fraction form
    3,683.64/5,082.60 = 3,088.54/x
  3. Step 3: Cross multiply
    3,683.64x = 5,082.60 × 3,088.54
  4. Step 4: Simplify right side
    3,683.64x = 15,697,800.15
  5. Step 5: Solve for x
    x = 15,697,800.15/3,683.64
  6. Step 6: Final answer
    x = 4,261.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.