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Finding the Fourth Proportional to 5,585.69, 7,708.65 and 3,693.99

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Solution

The fourth proportional to 5,585.69, 7,708.65 and 3,693.99 is: 5,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.69 : 7,708.65 = 3,693.99 : x
  2. Step 2: Convert to fraction form
    5,585.69/7,708.65 = 3,693.99/x
  3. Step 3: Cross multiply
    5,585.69x = 7,708.65 × 3,693.99
  4. Step 4: Simplify right side
    5,585.69x = 28,475,676.01
  5. Step 5: Solve for x
    x = 28,475,676.01/5,585.69
  6. Step 6: Final answer
    x = 5,097.97

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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.