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Finding the Fourth Proportional to 4,538.63, 6,807.44 and 1,576.53

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Solution

The fourth proportional to 4,538.63, 6,807.44 and 1,576.53 is: 2,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.63 : 6,807.44 = 1,576.53 : x
  2. Step 2: Convert to fraction form
    4,538.63/6,807.44 = 1,576.53/x
  3. Step 3: Cross multiply
    4,538.63x = 6,807.44 × 1,576.53
  4. Step 4: Simplify right side
    4,538.63x = 10,732,137.32
  5. Step 5: Solve for x
    x = 10,732,137.32/4,538.63
  6. Step 6: Final answer
    x = 2,364.62

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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.