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Finding the Fourth Proportional to 5,846.44, 8,779.74 and 4,291.24

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Solution

The fourth proportional to 5,846.44, 8,779.74 and 4,291.24 is: 6,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.44 : 8,779.74 = 4,291.24 : x
  2. Step 2: Convert to fraction form
    5,846.44/8,779.74 = 4,291.24/x
  3. Step 3: Cross multiply
    5,846.44x = 8,779.74 × 4,291.24
  4. Step 4: Simplify right side
    5,846.44x = 37,675,971.48
  5. Step 5: Solve for x
    x = 37,675,971.48/5,846.44
  6. Step 6: Final answer
    x = 6,444.26

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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.