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Finding the Fourth Proportional to 3,541.87, 5,313.23 and 944.83

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Solution

The fourth proportional to 3,541.87, 5,313.23 and 944.83 is: 1,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.87 : 5,313.23 = 944.83 : x
  2. Step 2: Convert to fraction form
    3,541.87/5,313.23 = 944.83/x
  3. Step 3: Cross multiply
    3,541.87x = 5,313.23 × 944.83
  4. Step 4: Simplify right side
    3,541.87x = 5,020,094.38
  5. Step 5: Solve for x
    x = 5,020,094.38/3,541.87
  6. Step 6: Final answer
    x = 1,417.36

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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.