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Finding the Fourth Proportional to 4,576.38, 6,864.50 and 1,653.98

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Solution

The fourth proportional to 4,576.38, 6,864.50 and 1,653.98 is: 2,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.38 : 6,864.50 = 1,653.98 : x
  2. Step 2: Convert to fraction form
    4,576.38/6,864.50 = 1,653.98/x
  3. Step 3: Cross multiply
    4,576.38x = 6,864.50 × 1,653.98
  4. Step 4: Simplify right side
    4,576.38x = 11,353,703.12
  5. Step 5: Solve for x
    x = 11,353,703.12/4,576.38
  6. Step 6: Final answer
    x = 2,480.94

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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.