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Finding the Fourth Proportional to 4,598.09, 6,351.82 and 4,100.57

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Solution

The fourth proportional to 4,598.09, 6,351.82 and 4,100.57 is: 5,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.09 : 6,351.82 = 4,100.57 : x
  2. Step 2: Convert to fraction form
    4,598.09/6,351.82 = 4,100.57/x
  3. Step 3: Cross multiply
    4,598.09x = 6,351.82 × 4,100.57
  4. Step 4: Simplify right side
    4,598.09x = 26,046,040.53
  5. Step 5: Solve for x
    x = 26,046,040.53/4,598.09
  6. Step 6: Final answer
    x = 5,664.54

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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.