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Finding the Fourth Proportional to 5,854.05, 8,779.77 and 1,693.14

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Solution

The fourth proportional to 5,854.05, 8,779.77 and 1,693.14 is: 2,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.05 : 8,779.77 = 1,693.14 : x
  2. Step 2: Convert to fraction form
    5,854.05/8,779.77 = 1,693.14/x
  3. Step 3: Cross multiply
    5,854.05x = 8,779.77 × 1,693.14
  4. Step 4: Simplify right side
    5,854.05x = 14,865,379.78
  5. Step 5: Solve for x
    x = 14,865,379.78/5,854.05
  6. Step 6: Final answer
    x = 2,539.33

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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.