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Finding the Fourth Proportional to 4,113.79, 6,170.68 and 3,868.05

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Solution

The fourth proportional to 4,113.79, 6,170.68 and 3,868.05 is: 5,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.79 : 6,170.68 = 3,868.05 : x
  2. Step 2: Convert to fraction form
    4,113.79/6,170.68 = 3,868.05/x
  3. Step 3: Cross multiply
    4,113.79x = 6,170.68 × 3,868.05
  4. Step 4: Simplify right side
    4,113.79x = 23,868,526.75
  5. Step 5: Solve for x
    x = 23,868,526.75/4,113.79
  6. Step 6: Final answer
    x = 5,802.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.