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Finding the Fourth Proportional to 5,309.58, 7,330.50 and 3,421.83

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Solution

The fourth proportional to 5,309.58, 7,330.50 and 3,421.83 is: 4,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.58 : 7,330.50 = 3,421.83 : x
  2. Step 2: Convert to fraction form
    5,309.58/7,330.50 = 3,421.83/x
  3. Step 3: Cross multiply
    5,309.58x = 7,330.50 × 3,421.83
  4. Step 4: Simplify right side
    5,309.58x = 25,083,724.82
  5. Step 5: Solve for x
    x = 25,083,724.82/5,309.58
  6. Step 6: Final answer
    x = 4,724.24

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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.