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Finding the Fourth Proportional to 4,804.78, 7,159.40 and 4,280.75

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Solution

The fourth proportional to 4,804.78, 7,159.40 and 4,280.75 is: 6,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.78 : 7,159.40 = 4,280.75 : x
  2. Step 2: Convert to fraction form
    4,804.78/7,159.40 = 4,280.75/x
  3. Step 3: Cross multiply
    4,804.78x = 7,159.40 × 4,280.75
  4. Step 4: Simplify right side
    4,804.78x = 30,647,601.55
  5. Step 5: Solve for x
    x = 30,647,601.55/4,804.78
  6. Step 6: Final answer
    x = 6,378.57

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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.