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Finding the Fourth Proportional to 5,581.66, 7,703.74 and 3,693.34

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Solution

The fourth proportional to 5,581.66, 7,703.74 and 3,693.34 is: 5,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.66 : 7,703.74 = 3,693.34 : x
  2. Step 2: Convert to fraction form
    5,581.66/7,703.74 = 3,693.34/x
  3. Step 3: Cross multiply
    5,581.66x = 7,703.74 × 3,693.34
  4. Step 4: Simplify right side
    5,581.66x = 28,452,531.09
  5. Step 5: Solve for x
    x = 28,452,531.09/5,581.66
  6. Step 6: Final answer
    x = 5,097.50

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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.