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Finding the Fourth Proportional to 4,683.47, 7,024.50 and 1,761.09

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Solution

The fourth proportional to 4,683.47, 7,024.50 and 1,761.09 is: 2,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.47 : 7,024.50 = 1,761.09 : x
  2. Step 2: Convert to fraction form
    4,683.47/7,024.50 = 1,761.09/x
  3. Step 3: Cross multiply
    4,683.47x = 7,024.50 × 1,761.09
  4. Step 4: Simplify right side
    4,683.47x = 12,370,803.05
  5. Step 5: Solve for x
    x = 12,370,803.05/4,683.47
  6. Step 6: Final answer
    x = 2,641.37

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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.