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Finding the Fourth Proportional to 3,875.39, 5,813.02 and 953.72

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Solution

The fourth proportional to 3,875.39, 5,813.02 and 953.72 is: 1,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.39 : 5,813.02 = 953.72 : x
  2. Step 2: Convert to fraction form
    3,875.39/5,813.02 = 953.72/x
  3. Step 3: Cross multiply
    3,875.39x = 5,813.02 × 953.72
  4. Step 4: Simplify right side
    3,875.39x = 5,543,993.43
  5. Step 5: Solve for x
    x = 5,543,993.43/3,875.39
  6. Step 6: Final answer
    x = 1,430.56

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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.