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Finding the Fourth Proportional to 5,779.36, 7,977.54 and 3,683.08

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Solution

The fourth proportional to 5,779.36, 7,977.54 and 3,683.08 is: 5,083.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.36 : 7,977.54 = 3,683.08 : x
  2. Step 2: Convert to fraction form
    5,779.36/7,977.54 = 3,683.08/x
  3. Step 3: Cross multiply
    5,779.36x = 7,977.54 × 3,683.08
  4. Step 4: Simplify right side
    5,779.36x = 29,381,918.02
  5. Step 5: Solve for x
    x = 29,381,918.02/5,779.36
  6. Step 6: Final answer
    x = 5,083.94

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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.