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Finding the Fourth Proportional to 4,649.82, 6,417.96 and 2,880.42

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Solution

The fourth proportional to 4,649.82, 6,417.96 and 2,880.42 is: 3,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.82 : 6,417.96 = 2,880.42 : x
  2. Step 2: Convert to fraction form
    4,649.82/6,417.96 = 2,880.42/x
  3. Step 3: Cross multiply
    4,649.82x = 6,417.96 × 2,880.42
  4. Step 4: Simplify right side
    4,649.82x = 18,486,420.34
  5. Step 5: Solve for x
    x = 18,486,420.34/4,649.82
  6. Step 6: Final answer
    x = 3,975.73

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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.