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Finding the Fourth Proportional to 3,583.38, 5,368.14 and 2,018.64

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Solution

The fourth proportional to 3,583.38, 5,368.14 and 2,018.64 is: 3,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.38 : 5,368.14 = 2,018.64 : x
  2. Step 2: Convert to fraction form
    3,583.38/5,368.14 = 2,018.64/x
  3. Step 3: Cross multiply
    3,583.38x = 5,368.14 × 2,018.64
  4. Step 4: Simplify right side
    3,583.38x = 10,836,342.13
  5. Step 5: Solve for x
    x = 10,836,342.13/3,583.38
  6. Step 6: Final answer
    x = 3,024.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.