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Finding the Fourth Proportional to 4,322.69, 6,483.98 and 1,982.03

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Solution

The fourth proportional to 4,322.69, 6,483.98 and 1,982.03 is: 2,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.69 : 6,483.98 = 1,982.03 : x
  2. Step 2: Convert to fraction form
    4,322.69/6,483.98 = 1,982.03/x
  3. Step 3: Cross multiply
    4,322.69x = 6,483.98 × 1,982.03
  4. Step 4: Simplify right side
    4,322.69x = 12,851,442.88
  5. Step 5: Solve for x
    x = 12,851,442.88/4,322.69
  6. Step 6: Final answer
    x = 2,973.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.