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Finding the Fourth Proportional to 5,876.42, 8,814.50 and 1,434.09

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Solution

The fourth proportional to 5,876.42, 8,814.50 and 1,434.09 is: 2,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.42 : 8,814.50 = 1,434.09 : x
  2. Step 2: Convert to fraction form
    5,876.42/8,814.50 = 1,434.09/x
  3. Step 3: Cross multiply
    5,876.42x = 8,814.50 × 1,434.09
  4. Step 4: Simplify right side
    5,876.42x = 12,640,779.13
  5. Step 5: Solve for x
    x = 12,640,779.13/5,876.42
  6. Step 6: Final answer
    x = 2,151.10

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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.