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Finding the Fourth Proportional to 5,922.59, 8,173.15 and 3,405.15

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Solution

The fourth proportional to 5,922.59, 8,173.15 and 3,405.15 is: 4,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.59 : 8,173.15 = 3,405.15 : x
  2. Step 2: Convert to fraction form
    5,922.59/8,173.15 = 3,405.15/x
  3. Step 3: Cross multiply
    5,922.59x = 8,173.15 × 3,405.15
  4. Step 4: Simplify right side
    5,922.59x = 27,830,823.86
  5. Step 5: Solve for x
    x = 27,830,823.86/5,922.59
  6. Step 6: Final answer
    x = 4,699.09

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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.