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Finding the Fourth Proportional to 5,120.45, 7,681.49 and 1,833.47

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Solution

The fourth proportional to 5,120.45, 7,681.49 and 1,833.47 is: 2,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.45 : 7,681.49 = 1,833.47 : x
  2. Step 2: Convert to fraction form
    5,120.45/7,681.49 = 1,833.47/x
  3. Step 3: Cross multiply
    5,120.45x = 7,681.49 × 1,833.47
  4. Step 4: Simplify right side
    5,120.45x = 14,083,798.38
  5. Step 5: Solve for x
    x = 14,083,798.38/5,120.45
  6. Step 6: Final answer
    x = 2,750.50

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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.