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Finding the Fourth Proportional to 5,689.74, 7,852.24 and 3,172.47

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Solution

The fourth proportional to 5,689.74, 7,852.24 and 3,172.47 is: 4,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.74 : 7,852.24 = 3,172.47 : x
  2. Step 2: Convert to fraction form
    5,689.74/7,852.24 = 3,172.47/x
  3. Step 3: Cross multiply
    5,689.74x = 7,852.24 × 3,172.47
  4. Step 4: Simplify right side
    5,689.74x = 24,910,970.35
  5. Step 5: Solve for x
    x = 24,910,970.35/5,689.74
  6. Step 6: Final answer
    x = 4,378.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.