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Finding the Fourth Proportional to 5,465.76, 7,543.58 and 3,980.43

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Solution

The fourth proportional to 5,465.76, 7,543.58 and 3,980.43 is: 5,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.76 : 7,543.58 = 3,980.43 : x
  2. Step 2: Convert to fraction form
    5,465.76/7,543.58 = 3,980.43/x
  3. Step 3: Cross multiply
    5,465.76x = 7,543.58 × 3,980.43
  4. Step 4: Simplify right side
    5,465.76x = 30,026,672.24
  5. Step 5: Solve for x
    x = 30,026,672.24/5,465.76
  6. Step 6: Final answer
    x = 5,493.60

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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.