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Finding the Fourth Proportional to 5,903.35, 8,146.84 and 3,666.46

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Solution

The fourth proportional to 5,903.35, 8,146.84 and 3,666.46 is: 5,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.35 : 8,146.84 = 3,666.46 : x
  2. Step 2: Convert to fraction form
    5,903.35/8,146.84 = 3,666.46/x
  3. Step 3: Cross multiply
    5,903.35x = 8,146.84 × 3,666.46
  4. Step 4: Simplify right side
    5,903.35x = 29,870,062.99
  5. Step 5: Solve for x
    x = 29,870,062.99/5,903.35
  6. Step 6: Final answer
    x = 5,059.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.