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Finding the Fourth Proportional to 5,133.26, 7,662.75 and 4,510.47

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Solution

The fourth proportional to 5,133.26, 7,662.75 and 4,510.47 is: 6,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.26 : 7,662.75 = 4,510.47 : x
  2. Step 2: Convert to fraction form
    5,133.26/7,662.75 = 4,510.47/x
  3. Step 3: Cross multiply
    5,133.26x = 7,662.75 × 4,510.47
  4. Step 4: Simplify right side
    5,133.26x = 34,562,632.73
  5. Step 5: Solve for x
    x = 34,562,632.73/5,133.26
  6. Step 6: Final answer
    x = 6,733.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.