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Finding the Fourth Proportional to 4,538.52, 6,807.36 and 1,576.89

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Solution

The fourth proportional to 4,538.52, 6,807.36 and 1,576.89 is: 2,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.52 : 6,807.36 = 1,576.89 : x
  2. Step 2: Convert to fraction form
    4,538.52/6,807.36 = 1,576.89/x
  3. Step 3: Cross multiply
    4,538.52x = 6,807.36 × 1,576.89
  4. Step 4: Simplify right side
    4,538.52x = 10,734,457.91
  5. Step 5: Solve for x
    x = 10,734,457.91/4,538.52
  6. Step 6: Final answer
    x = 2,365.19

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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.