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Finding the Fourth Proportional to 4,107.55, 6,161.94 and 1,510.29

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Solution

The fourth proportional to 4,107.55, 6,161.94 and 1,510.29 is: 2,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.55 : 6,161.94 = 1,510.29 : x
  2. Step 2: Convert to fraction form
    4,107.55/6,161.94 = 1,510.29/x
  3. Step 3: Cross multiply
    4,107.55x = 6,161.94 × 1,510.29
  4. Step 4: Simplify right side
    4,107.55x = 9,306,316.36
  5. Step 5: Solve for x
    x = 9,306,316.36/4,107.55
  6. Step 6: Final answer
    x = 2,265.66

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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.