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Finding the Fourth Proportional to 4,681.05, 6,454.60 and 3,827.65

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Solution

The fourth proportional to 4,681.05, 6,454.60 and 3,827.65 is: 5,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.05 : 6,454.60 = 3,827.65 : x
  2. Step 2: Convert to fraction form
    4,681.05/6,454.60 = 3,827.65/x
  3. Step 3: Cross multiply
    4,681.05x = 6,454.60 × 3,827.65
  4. Step 4: Simplify right side
    4,681.05x = 24,705,949.69
  5. Step 5: Solve for x
    x = 24,705,949.69/4,681.05
  6. Step 6: Final answer
    x = 5,277.86

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1.5x scale

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.