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Finding the Fourth Proportional to 4,566.64, 6,301.23 and 2,576.74

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Solution

The fourth proportional to 4,566.64, 6,301.23 and 2,576.74 is: 3,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.64 : 6,301.23 = 2,576.74 : x
  2. Step 2: Convert to fraction form
    4,566.64/6,301.23 = 2,576.74/x
  3. Step 3: Cross multiply
    4,566.64x = 6,301.23 × 2,576.74
  4. Step 4: Simplify right side
    4,566.64x = 16,236,631.39
  5. Step 5: Solve for x
    x = 16,236,631.39/4,566.64
  6. Step 6: Final answer
    x = 3,555.49

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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.