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Finding the Fourth Proportional to 4,189.95, 5,784.48 and 2,620.17

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Solution

The fourth proportional to 4,189.95, 5,784.48 and 2,620.17 is: 3,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.95 : 5,784.48 = 2,620.17 : x
  2. Step 2: Convert to fraction form
    4,189.95/5,784.48 = 2,620.17/x
  3. Step 3: Cross multiply
    4,189.95x = 5,784.48 × 2,620.17
  4. Step 4: Simplify right side
    4,189.95x = 15,156,320.96
  5. Step 5: Solve for x
    x = 15,156,320.96/4,189.95
  6. Step 6: Final answer
    x = 3,617.30

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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.