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Finding the Fourth Proportional to 5,213.70, 7,808.94 and 4,035.69

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Solution

The fourth proportional to 5,213.70, 7,808.94 and 4,035.69 is: 6,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.70 : 7,808.94 = 4,035.69 : x
  2. Step 2: Convert to fraction form
    5,213.70/7,808.94 = 4,035.69/x
  3. Step 3: Cross multiply
    5,213.70x = 7,808.94 × 4,035.69
  4. Step 4: Simplify right side
    5,213.70x = 31,514,461.07
  5. Step 5: Solve for x
    x = 31,514,461.07/5,213.70
  6. Step 6: Final answer
    x = 6,044.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.