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Finding the Fourth Proportional to 3,693.16, 5,541.18 and 1,384.12

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Solution

The fourth proportional to 3,693.16, 5,541.18 and 1,384.12 is: 2,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.16 : 5,541.18 = 1,384.12 : x
  2. Step 2: Convert to fraction form
    3,693.16/5,541.18 = 1,384.12/x
  3. Step 3: Cross multiply
    3,693.16x = 5,541.18 × 1,384.12
  4. Step 4: Simplify right side
    3,693.16x = 7,669,658.06
  5. Step 5: Solve for x
    x = 7,669,658.06/3,693.16
  6. Step 6: Final answer
    x = 2,076.72

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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.