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Finding the Fourth Proportional to 5,726.88, 7,896.24 and 4,784.04

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Solution

The fourth proportional to 5,726.88, 7,896.24 and 4,784.04 is: 6,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.88 : 7,896.24 = 4,784.04 : x
  2. Step 2: Convert to fraction form
    5,726.88/7,896.24 = 4,784.04/x
  3. Step 3: Cross multiply
    5,726.88x = 7,896.24 × 4,784.04
  4. Step 4: Simplify right side
    5,726.88x = 37,775,928.01
  5. Step 5: Solve for x
    x = 37,775,928.01/5,726.88
  6. Step 6: Final answer
    x = 6,596.25

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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.