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Finding the Fourth Proportional to 5,419.58, 7,478.90 and 3,029.58

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Solution

The fourth proportional to 5,419.58, 7,478.90 and 3,029.58 is: 4,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.58 : 7,478.90 = 3,029.58 : x
  2. Step 2: Convert to fraction form
    5,419.58/7,478.90 = 3,029.58/x
  3. Step 3: Cross multiply
    5,419.58x = 7,478.90 × 3,029.58
  4. Step 4: Simplify right side
    5,419.58x = 22,657,922.08
  5. Step 5: Solve for x
    x = 22,657,922.08/5,419.58
  6. Step 6: Final answer
    x = 4,180.76

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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.