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Finding the Fourth Proportional to 5,779.20, 7,971.12 and 3,684

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Solution

The fourth proportional to 5,779.20, 7,971.12 and 3,684 is: 5,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.20 : 7,971.12 = 3,684 : x
  2. Step 2: Convert to fraction form
    5,779.20/7,971.12 = 3,684/x
  3. Step 3: Cross multiply
    5,779.20x = 7,971.12 × 3,684
  4. Step 4: Simplify right side
    5,779.20x = 29,365,606.08
  5. Step 5: Solve for x
    x = 29,365,606.08/5,779.20
  6. Step 6: Final answer
    x = 5,081.26

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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.