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Finding the Fourth Proportional to 5,419.19, 7,478.40 and 3,029.22

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Solution

The fourth proportional to 5,419.19, 7,478.40 and 3,029.22 is: 4,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.19 : 7,478.40 = 3,029.22 : x
  2. Step 2: Convert to fraction form
    5,419.19/7,478.40 = 3,029.22/x
  3. Step 3: Cross multiply
    5,419.19x = 7,478.40 × 3,029.22
  4. Step 4: Simplify right side
    5,419.19x = 22,653,718.85
  5. Step 5: Solve for x
    x = 22,653,718.85/5,419.19
  6. Step 6: Final answer
    x = 4,180.28

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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.