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Finding the Fourth Proportional to 5,059.57, 7,589.76 and 1,771.51

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Solution

The fourth proportional to 5,059.57, 7,589.76 and 1,771.51 is: 2,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.57 : 7,589.76 = 1,771.51 : x
  2. Step 2: Convert to fraction form
    5,059.57/7,589.76 = 1,771.51/x
  3. Step 3: Cross multiply
    5,059.57x = 7,589.76 × 1,771.51
  4. Step 4: Simplify right side
    5,059.57x = 13,445,335.74
  5. Step 5: Solve for x
    x = 13,445,335.74/5,059.57
  6. Step 6: Final answer
    x = 2,657.41

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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.