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Finding the Fourth Proportional to 4,576.98, 6,311.76 and 2,784.72

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Solution

The fourth proportional to 4,576.98, 6,311.76 and 2,784.72 is: 3,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.98 : 6,311.76 = 2,784.72 : x
  2. Step 2: Convert to fraction form
    4,576.98/6,311.76 = 2,784.72/x
  3. Step 3: Cross multiply
    4,576.98x = 6,311.76 × 2,784.72
  4. Step 4: Simplify right side
    4,576.98x = 17,576,484.31
  5. Step 5: Solve for x
    x = 17,576,484.31/4,576.98
  6. Step 6: Final answer
    x = 3,840.19

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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.