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Finding the Fourth Proportional to 5,395.20, 7,440 and 3,804.16

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Solution

The fourth proportional to 5,395.20, 7,440 and 3,804.16 is: 5,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.20 : 7,440 = 3,804.16 : x
  2. Step 2: Convert to fraction form
    5,395.20/7,440 = 3,804.16/x
  3. Step 3: Cross multiply
    5,395.20x = 7,440 × 3,804.16
  4. Step 4: Simplify right side
    5,395.20x = 28,302,950.40
  5. Step 5: Solve for x
    x = 28,302,950.40/5,395.20
  6. Step 6: Final answer
    x = 5,245.95

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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.