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Finding the Fourth Proportional to 5,828.44, 8,036.76 and 4,567.24

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Solution

The fourth proportional to 5,828.44, 8,036.76 and 4,567.24 is: 6,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.44 : 8,036.76 = 4,567.24 : x
  2. Step 2: Convert to fraction form
    5,828.44/8,036.76 = 4,567.24/x
  3. Step 3: Cross multiply
    5,828.44x = 8,036.76 × 4,567.24
  4. Step 4: Simplify right side
    5,828.44x = 36,705,811.74
  5. Step 5: Solve for x
    x = 36,705,811.74/5,828.44
  6. Step 6: Final answer
    x = 6,297.71

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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.