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Finding the Fourth Proportional to 5,409.25, 7,464.77 and 2,925.25

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Solution

The fourth proportional to 5,409.25, 7,464.77 and 2,925.25 is: 4,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.25 : 7,464.77 = 2,925.25 : x
  2. Step 2: Convert to fraction form
    5,409.25/7,464.77 = 2,925.25/x
  3. Step 3: Cross multiply
    5,409.25x = 7,464.77 × 2,925.25
  4. Step 4: Simplify right side
    5,409.25x = 21,836,318.44
  5. Step 5: Solve for x
    x = 21,836,318.44/5,409.25
  6. Step 6: Final answer
    x = 4,036.85

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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.