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Finding the Fourth Proportional to 3,875.37, 5,813.18 and 953.67

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Solution

The fourth proportional to 3,875.37, 5,813.18 and 953.67 is: 1,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.37 : 5,813.18 = 953.67 : x
  2. Step 2: Convert to fraction form
    3,875.37/5,813.18 = 953.67/x
  3. Step 3: Cross multiply
    3,875.37x = 5,813.18 × 953.67
  4. Step 4: Simplify right side
    3,875.37x = 5,543,850.60
  5. Step 5: Solve for x
    x = 5,543,850.60/3,875.37
  6. Step 6: Final answer
    x = 1,430.53

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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.