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Finding the Fourth Proportional to 4,187, 5,779.02 and 2,531.96

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Solution

The fourth proportional to 4,187, 5,779.02 and 2,531.96 is: 3,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187 : 5,779.02 = 2,531.96 : x
  2. Step 2: Convert to fraction form
    4,187/5,779.02 = 2,531.96/x
  3. Step 3: Cross multiply
    4,187x = 5,779.02 × 2,531.96
  4. Step 4: Simplify right side
    4,187x = 14,632,247.48
  5. Step 5: Solve for x
    x = 14,632,247.48/4,187
  6. Step 6: Final answer
    x = 3,494.69

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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.