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Finding the Fourth Proportional to 5,411.98, 7,468.53 and 3,054.12

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Solution

The fourth proportional to 5,411.98, 7,468.53 and 3,054.12 is: 4,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.98 : 7,468.53 = 3,054.12 : x
  2. Step 2: Convert to fraction form
    5,411.98/7,468.53 = 3,054.12/x
  3. Step 3: Cross multiply
    5,411.98x = 7,468.53 × 3,054.12
  4. Step 4: Simplify right side
    5,411.98x = 22,809,786.84
  5. Step 5: Solve for x
    x = 22,809,786.84/5,411.98
  6. Step 6: Final answer
    x = 4,214.68

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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.