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Finding the Fourth Proportional to 4,145.96, 5,720.96 and 2,378.14

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Solution

The fourth proportional to 4,145.96, 5,720.96 and 2,378.14 is: 3,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.96 : 5,720.96 = 2,378.14 : x
  2. Step 2: Convert to fraction form
    4,145.96/5,720.96 = 2,378.14/x
  3. Step 3: Cross multiply
    4,145.96x = 5,720.96 × 2,378.14
  4. Step 4: Simplify right side
    4,145.96x = 13,605,243.81
  5. Step 5: Solve for x
    x = 13,605,243.81/4,145.96
  6. Step 6: Final answer
    x = 3,281.57

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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.