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Finding the Fourth Proportional to 4,871.26, 7,313.37 and 2,564.38

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Solution

The fourth proportional to 4,871.26, 7,313.37 and 2,564.38 is: 3,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.26 : 7,313.37 = 2,564.38 : x
  2. Step 2: Convert to fraction form
    4,871.26/7,313.37 = 2,564.38/x
  3. Step 3: Cross multiply
    4,871.26x = 7,313.37 × 2,564.38
  4. Step 4: Simplify right side
    4,871.26x = 18,754,259.76
  5. Step 5: Solve for x
    x = 18,754,259.76/4,871.26
  6. Step 6: Final answer
    x = 3,849.98

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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.