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Finding the Fourth Proportional to 5,011.76, 7,516.50 and 1,892.10

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Solution

The fourth proportional to 5,011.76, 7,516.50 and 1,892.10 is: 2,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.76 : 7,516.50 = 1,892.10 : x
  2. Step 2: Convert to fraction form
    5,011.76/7,516.50 = 1,892.10/x
  3. Step 3: Cross multiply
    5,011.76x = 7,516.50 × 1,892.10
  4. Step 4: Simplify right side
    5,011.76x = 14,221,969.65
  5. Step 5: Solve for x
    x = 14,221,969.65/5,011.76
  6. Step 6: Final answer
    x = 2,837.72

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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.