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Finding the Fourth Proportional to 5,396.18, 7,446.20 and 3,038.14

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Solution

The fourth proportional to 5,396.18, 7,446.20 and 3,038.14 is: 4,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.18 : 7,446.20 = 3,038.14 : x
  2. Step 2: Convert to fraction form
    5,396.18/7,446.20 = 3,038.14/x
  3. Step 3: Cross multiply
    5,396.18x = 7,446.20 × 3,038.14
  4. Step 4: Simplify right side
    5,396.18x = 22,622,598.07
  5. Step 5: Solve for x
    x = 22,622,598.07/5,396.18
  6. Step 6: Final answer
    x = 4,192.34

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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.