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Finding the Fourth Proportional to 5,409.06, 7,464.72 and 3,418.89

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Solution

The fourth proportional to 5,409.06, 7,464.72 and 3,418.89 is: 4,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.06 : 7,464.72 = 3,418.89 : x
  2. Step 2: Convert to fraction form
    5,409.06/7,464.72 = 3,418.89/x
  3. Step 3: Cross multiply
    5,409.06x = 7,464.72 × 3,418.89
  4. Step 4: Simplify right side
    5,409.06x = 25,521,056.56
  5. Step 5: Solve for x
    x = 25,521,056.56/5,409.06
  6. Step 6: Final answer
    x = 4,718.21

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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.