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Finding the Fourth Proportional to 5,585.63, 7,708.29 and 3,349.85

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Solution

The fourth proportional to 5,585.63, 7,708.29 and 3,349.85 is: 4,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.63 : 7,708.29 = 3,349.85 : x
  2. Step 2: Convert to fraction form
    5,585.63/7,708.29 = 3,349.85/x
  3. Step 3: Cross multiply
    5,585.63x = 7,708.29 × 3,349.85
  4. Step 4: Simplify right side
    5,585.63x = 25,821,615.26
  5. Step 5: Solve for x
    x = 25,821,615.26/5,585.63
  6. Step 6: Final answer
    x = 4,622.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.