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Finding the Fourth Proportional to 5,653.44, 7,804.80 and 4,409.28

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Solution

The fourth proportional to 5,653.44, 7,804.80 and 4,409.28 is: 6,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.44 : 7,804.80 = 4,409.28 : x
  2. Step 2: Convert to fraction form
    5,653.44/7,804.80 = 4,409.28/x
  3. Step 3: Cross multiply
    5,653.44x = 7,804.80 × 4,409.28
  4. Step 4: Simplify right side
    5,653.44x = 34,413,548.54
  5. Step 5: Solve for x
    x = 34,413,548.54/5,653.44
  6. Step 6: Final answer
    x = 6,087.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.