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Finding the Fourth Proportional to 4,364.64, 6,546.92 and 1,901.23

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Solution

The fourth proportional to 4,364.64, 6,546.92 and 1,901.23 is: 2,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.64 : 6,546.92 = 1,901.23 : x
  2. Step 2: Convert to fraction form
    4,364.64/6,546.92 = 1,901.23/x
  3. Step 3: Cross multiply
    4,364.64x = 6,546.92 × 1,901.23
  4. Step 4: Simplify right side
    4,364.64x = 12,447,174.84
  5. Step 5: Solve for x
    x = 12,447,174.84/4,364.64
  6. Step 6: Final answer
    x = 2,851.82

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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.