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Finding the Fourth Proportional to 5,741.69, 7,931.34 and 4,498.48

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Solution

The fourth proportional to 5,741.69, 7,931.34 and 4,498.48 is: 6,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.69 : 7,931.34 = 4,498.48 : x
  2. Step 2: Convert to fraction form
    5,741.69/7,931.34 = 4,498.48/x
  3. Step 3: Cross multiply
    5,741.69x = 7,931.34 × 4,498.48
  4. Step 4: Simplify right side
    5,741.69x = 35,678,974.36
  5. Step 5: Solve for x
    x = 35,678,974.36/5,741.69
  6. Step 6: Final answer
    x = 6,214.02

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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.