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Finding the Fourth Proportional to 5,804.34, 8,010.03 and 3,151.76

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Solution

The fourth proportional to 5,804.34, 8,010.03 and 3,151.76 is: 4,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.34 : 8,010.03 = 3,151.76 : x
  2. Step 2: Convert to fraction form
    5,804.34/8,010.03 = 3,151.76/x
  3. Step 3: Cross multiply
    5,804.34x = 8,010.03 × 3,151.76
  4. Step 4: Simplify right side
    5,804.34x = 25,245,652.10
  5. Step 5: Solve for x
    x = 25,245,652.10/5,804.34
  6. Step 6: Final answer
    x = 4,349.44

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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.