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Finding the Fourth Proportional to 5,726.30, 8,524.34 and 5,457.92

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Solution

The fourth proportional to 5,726.30, 8,524.34 and 5,457.92 is: 8,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.30 : 8,524.34 = 5,457.92 : x
  2. Step 2: Convert to fraction form
    5,726.30/8,524.34 = 5,457.92/x
  3. Step 3: Cross multiply
    5,726.30x = 8,524.34 × 5,457.92
  4. Step 4: Simplify right side
    5,726.30x = 46,525,116.33
  5. Step 5: Solve for x
    x = 46,525,116.33/5,726.30
  6. Step 6: Final answer
    x = 8,124.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.