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Finding the Fourth Proportional to 5,339.54, 8,009.46 and 1,443.94

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Solution

The fourth proportional to 5,339.54, 8,009.46 and 1,443.94 is: 2,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.54 : 8,009.46 = 1,443.94 : x
  2. Step 2: Convert to fraction form
    5,339.54/8,009.46 = 1,443.94/x
  3. Step 3: Cross multiply
    5,339.54x = 8,009.46 × 1,443.94
  4. Step 4: Simplify right side
    5,339.54x = 11,565,159.65
  5. Step 5: Solve for x
    x = 11,565,159.65/5,339.54
  6. Step 6: Final answer
    x = 2,165.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.