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Finding the Fourth Proportional to 5,726.37, 7,905.96 and 4,397.43

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Solution

The fourth proportional to 5,726.37, 7,905.96 and 4,397.43 is: 6,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.37 : 7,905.96 = 4,397.43 : x
  2. Step 2: Convert to fraction form
    5,726.37/7,905.96 = 4,397.43/x
  3. Step 3: Cross multiply
    5,726.37x = 7,905.96 × 4,397.43
  4. Step 4: Simplify right side
    5,726.37x = 34,765,905.68
  5. Step 5: Solve for x
    x = 34,765,905.68/5,726.37
  6. Step 6: Final answer
    x = 6,071.19

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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.