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Finding the Fourth Proportional to 4,871.53, 7,314.05 and 2,501.25

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Solution

The fourth proportional to 4,871.53, 7,314.05 and 2,501.25 is: 3,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.53 : 7,314.05 = 2,501.25 : x
  2. Step 2: Convert to fraction form
    4,871.53/7,314.05 = 2,501.25/x
  3. Step 3: Cross multiply
    4,871.53x = 7,314.05 × 2,501.25
  4. Step 4: Simplify right side
    4,871.53x = 18,294,267.56
  5. Step 5: Solve for x
    x = 18,294,267.56/4,871.53
  6. Step 6: Final answer
    x = 3,755.34

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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.