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Finding the Fourth Proportional to 5,307.58, 7,327.74 and 3,419.83

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Solution

The fourth proportional to 5,307.58, 7,327.74 and 3,419.83 is: 4,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.58 : 7,327.74 = 3,419.83 : x
  2. Step 2: Convert to fraction form
    5,307.58/7,327.74 = 3,419.83/x
  3. Step 3: Cross multiply
    5,307.58x = 7,327.74 × 3,419.83
  4. Step 4: Simplify right side
    5,307.58x = 25,059,625.08
  5. Step 5: Solve for x
    x = 25,059,625.08/5,307.58
  6. Step 6: Final answer
    x = 4,721.48

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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.