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Finding the Fourth Proportional to 4,756.54, 6,562.85 and 2,869.23

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Solution

The fourth proportional to 4,756.54, 6,562.85 and 2,869.23 is: 3,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.54 : 6,562.85 = 2,869.23 : x
  2. Step 2: Convert to fraction form
    4,756.54/6,562.85 = 2,869.23/x
  3. Step 3: Cross multiply
    4,756.54x = 6,562.85 × 2,869.23
  4. Step 4: Simplify right side
    4,756.54x = 18,830,325.98
  5. Step 5: Solve for x
    x = 18,830,325.98/4,756.54
  6. Step 6: Final answer
    x = 3,958.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.