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Finding the Fourth Proportional to 4,576.96, 6,865.40 and 1,655.24

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Solution

The fourth proportional to 4,576.96, 6,865.40 and 1,655.24 is: 2,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.96 : 6,865.40 = 1,655.24 : x
  2. Step 2: Convert to fraction form
    4,576.96/6,865.40 = 1,655.24/x
  3. Step 3: Cross multiply
    4,576.96x = 6,865.40 × 1,655.24
  4. Step 4: Simplify right side
    4,576.96x = 11,363,884.70
  5. Step 5: Solve for x
    x = 11,363,884.70/4,576.96
  6. Step 6: Final answer
    x = 2,482.85

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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.