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Finding the Fourth Proportional to 6,030.25, 8,322.74 and 3,792.46

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Solution

The fourth proportional to 6,030.25, 8,322.74 and 3,792.46 is: 5,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.25 : 8,322.74 = 3,792.46 : x
  2. Step 2: Convert to fraction form
    6,030.25/8,322.74 = 3,792.46/x
  3. Step 3: Cross multiply
    6,030.25x = 8,322.74 × 3,792.46
  4. Step 4: Simplify right side
    6,030.25x = 31,563,639.58
  5. Step 5: Solve for x
    x = 31,563,639.58/6,030.25
  6. Step 6: Final answer
    x = 5,234.22

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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.