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Finding the Fourth Proportional to 5,842.70, 8,712.59 and 5,790.05

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Solution

The fourth proportional to 5,842.70, 8,712.59 and 5,790.05 is: 8,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.70 : 8,712.59 = 5,790.05 : x
  2. Step 2: Convert to fraction form
    5,842.70/8,712.59 = 5,790.05/x
  3. Step 3: Cross multiply
    5,842.70x = 8,712.59 × 5,790.05
  4. Step 4: Simplify right side
    5,842.70x = 50,446,259.22
  5. Step 5: Solve for x
    x = 50,446,259.22/5,842.70
  6. Step 6: Final answer
    x = 8,634.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.