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Finding the Fourth Proportional to 5,605.26, 8,407.89 and 3,004.62

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Solution

The fourth proportional to 5,605.26, 8,407.89 and 3,004.62 is: 4,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.26 : 8,407.89 = 3,004.62 : x
  2. Step 2: Convert to fraction form
    5,605.26/8,407.89 = 3,004.62/x
  3. Step 3: Cross multiply
    5,605.26x = 8,407.89 × 3,004.62
  4. Step 4: Simplify right side
    5,605.26x = 25,262,514.45
  5. Step 5: Solve for x
    x = 25,262,514.45/5,605.26
  6. Step 6: Final answer
    x = 4,506.93

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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.