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Finding the Fourth Proportional to 5,354.74, 8,020.46 and 4,419.80

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Solution

The fourth proportional to 5,354.74, 8,020.46 and 4,419.80 is: 6,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.74 : 8,020.46 = 4,419.80 : x
  2. Step 2: Convert to fraction form
    5,354.74/8,020.46 = 4,419.80/x
  3. Step 3: Cross multiply
    5,354.74x = 8,020.46 × 4,419.80
  4. Step 4: Simplify right side
    5,354.74x = 35,448,829.11
  5. Step 5: Solve for x
    x = 35,448,829.11/5,354.74
  6. Step 6: Final answer
    x = 6,620.08

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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.