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Finding the Fourth Proportional to 5,260.10, 7,895.60 and 3,875

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Solution

The fourth proportional to 5,260.10, 7,895.60 and 3,875 is: 5,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.10 : 7,895.60 = 3,875 : x
  2. Step 2: Convert to fraction form
    5,260.10/7,895.60 = 3,875/x
  3. Step 3: Cross multiply
    5,260.10x = 7,895.60 × 3,875
  4. Step 4: Simplify right side
    5,260.10x = 30,595,450
  5. Step 5: Solve for x
    x = 30,595,450/5,260.10
  6. Step 6: Final answer
    x = 5,816.51

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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.