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Finding the Fourth Proportional to 4,576.56, 6,865.84 and 1,457.52

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Solution

The fourth proportional to 4,576.56, 6,865.84 and 1,457.52 is: 2,186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.56 : 6,865.84 = 1,457.52 : x
  2. Step 2: Convert to fraction form
    4,576.56/6,865.84 = 1,457.52/x
  3. Step 3: Cross multiply
    4,576.56x = 6,865.84 × 1,457.52
  4. Step 4: Simplify right side
    4,576.56x = 10,007,099.12
  5. Step 5: Solve for x
    x = 10,007,099.12/4,576.56
  6. Step 6: Final answer
    x = 2,186.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.