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Finding the Fourth Proportional to 4,540.58, 6,275.85 and 4,190.66

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Solution

The fourth proportional to 4,540.58, 6,275.85 and 4,190.66 is: 5,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.58 : 6,275.85 = 4,190.66 : x
  2. Step 2: Convert to fraction form
    4,540.58/6,275.85 = 4,190.66/x
  3. Step 3: Cross multiply
    4,540.58x = 6,275.85 × 4,190.66
  4. Step 4: Simplify right side
    4,540.58x = 26,299,953.56
  5. Step 5: Solve for x
    x = 26,299,953.56/4,540.58
  6. Step 6: Final answer
    x = 5,792.20

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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.