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Finding the Fourth Proportional to 5,458.69, 8,189.29 and 1,710.26

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Solution

The fourth proportional to 5,458.69, 8,189.29 and 1,710.26 is: 2,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.69 : 8,189.29 = 1,710.26 : x
  2. Step 2: Convert to fraction form
    5,458.69/8,189.29 = 1,710.26/x
  3. Step 3: Cross multiply
    5,458.69x = 8,189.29 × 1,710.26
  4. Step 4: Simplify right side
    5,458.69x = 14,005,815.12
  5. Step 5: Solve for x
    x = 14,005,815.12/5,458.69
  6. Step 6: Final answer
    x = 2,565.78

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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.