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Finding the Fourth Proportional to 4,966.65, 6,851.66 and 3,176.55

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Solution

The fourth proportional to 4,966.65, 6,851.66 and 3,176.55 is: 4,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.65 : 6,851.66 = 3,176.55 : x
  2. Step 2: Convert to fraction form
    4,966.65/6,851.66 = 3,176.55/x
  3. Step 3: Cross multiply
    4,966.65x = 6,851.66 × 3,176.55
  4. Step 4: Simplify right side
    4,966.65x = 21,764,624.69
  5. Step 5: Solve for x
    x = 21,764,624.69/4,966.65
  6. Step 6: Final answer
    x = 4,382.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.