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Finding the Fourth Proportional to 3,975.69, 5,964.35 and 1,510.05

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Solution

The fourth proportional to 3,975.69, 5,964.35 and 1,510.05 is: 2,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.69 : 5,964.35 = 1,510.05 : x
  2. Step 2: Convert to fraction form
    3,975.69/5,964.35 = 1,510.05/x
  3. Step 3: Cross multiply
    3,975.69x = 5,964.35 × 1,510.05
  4. Step 4: Simplify right side
    3,975.69x = 9,006,459.17
  5. Step 5: Solve for x
    x = 9,006,459.17/3,975.69
  6. Step 6: Final answer
    x = 2,265.38

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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.