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Finding the Fourth Proportional to 5,280.54, 7,286.50 and 4,206.54

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Solution

The fourth proportional to 5,280.54, 7,286.50 and 4,206.54 is: 5,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.54 : 7,286.50 = 4,206.54 : x
  2. Step 2: Convert to fraction form
    5,280.54/7,286.50 = 4,206.54/x
  3. Step 3: Cross multiply
    5,280.54x = 7,286.50 × 4,206.54
  4. Step 4: Simplify right side
    5,280.54x = 30,650,967.85
  5. Step 5: Solve for x
    x = 30,650,967.85/5,280.54
  6. Step 6: Final answer
    x = 5,804.52

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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.