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Finding the Fourth Proportional to 3,975.93, 5,959.89 and 1,510.11

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Solution

The fourth proportional to 3,975.93, 5,959.89 and 1,510.11 is: 2,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.93 : 5,959.89 = 1,510.11 : x
  2. Step 2: Convert to fraction form
    3,975.93/5,959.89 = 1,510.11/x
  3. Step 3: Cross multiply
    3,975.93x = 5,959.89 × 1,510.11
  4. Step 4: Simplify right side
    3,975.93x = 9,000,089.49
  5. Step 5: Solve for x
    x = 9,000,089.49/3,975.93
  6. Step 6: Final answer
    x = 2,263.64

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Why These Related Problems?

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