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Finding the Fourth Proportional to 4,756.57, 7,129.34 and 2,560.69

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Solution

The fourth proportional to 4,756.57, 7,129.34 and 2,560.69 is: 3,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.57 : 7,129.34 = 2,560.69 : x
  2. Step 2: Convert to fraction form
    4,756.57/7,129.34 = 2,560.69/x
  3. Step 3: Cross multiply
    4,756.57x = 7,129.34 × 2,560.69
  4. Step 4: Simplify right side
    4,756.57x = 18,256,022.51
  5. Step 5: Solve for x
    x = 18,256,022.51/4,756.57
  6. Step 6: Final answer
    x = 3,838.06

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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.