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Finding the Fourth Proportional to 5,804.74, 8,699.96 and 2,291.22

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Solution

The fourth proportional to 5,804.74, 8,699.96 and 2,291.22 is: 3,434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.74 : 8,699.96 = 2,291.22 : x
  2. Step 2: Convert to fraction form
    5,804.74/8,699.96 = 2,291.22/x
  3. Step 3: Cross multiply
    5,804.74x = 8,699.96 × 2,291.22
  4. Step 4: Simplify right side
    5,804.74x = 19,933,522.35
  5. Step 5: Solve for x
    x = 19,933,522.35/5,804.74
  6. Step 6: Final answer
    x = 3,434.01

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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.