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Finding the Fourth Proportional to 5,409.06, 7,464.53 and 3,019.14

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Solution

The fourth proportional to 5,409.06, 7,464.53 and 3,019.14 is: 4,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.06 : 7,464.53 = 3,019.14 : x
  2. Step 2: Convert to fraction form
    5,409.06/7,464.53 = 3,019.14/x
  3. Step 3: Cross multiply
    5,409.06x = 7,464.53 × 3,019.14
  4. Step 4: Simplify right side
    5,409.06x = 22,536,461.10
  5. Step 5: Solve for x
    x = 22,536,461.10/5,409.06
  6. Step 6: Final answer
    x = 4,166.43

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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.