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Finding the Fourth Proportional to 4,498.65, 6,751.01 and 1,576.98

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Solution

The fourth proportional to 4,498.65, 6,751.01 and 1,576.98 is: 2,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.65 : 6,751.01 = 1,576.98 : x
  2. Step 2: Convert to fraction form
    4,498.65/6,751.01 = 1,576.98/x
  3. Step 3: Cross multiply
    4,498.65x = 6,751.01 × 1,576.98
  4. Step 4: Simplify right side
    4,498.65x = 10,646,199.86
  5. Step 5: Solve for x
    x = 10,646,199.86/4,498.65
  6. Step 6: Final answer
    x = 2,366.53

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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.