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Finding the Fourth Proportional to 4,874.82, 7,310.53 and 1,587.30

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Solution

The fourth proportional to 4,874.82, 7,310.53 and 1,587.30 is: 2,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.82 : 7,310.53 = 1,587.30 : x
  2. Step 2: Convert to fraction form
    4,874.82/7,310.53 = 1,587.30/x
  3. Step 3: Cross multiply
    4,874.82x = 7,310.53 × 1,587.30
  4. Step 4: Simplify right side
    4,874.82x = 11,604,004.27
  5. Step 5: Solve for x
    x = 11,604,004.27/4,874.82
  6. Step 6: Final answer
    x = 2,380.40

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Similar ratio
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1.5x scale

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.