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Finding the Fourth Proportional to 5,985.34, 8,974.34 and 2,283.60

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Solution

The fourth proportional to 5,985.34, 8,974.34 and 2,283.60 is: 3,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.34 : 8,974.34 = 2,283.60 : x
  2. Step 2: Convert to fraction form
    5,985.34/8,974.34 = 2,283.60/x
  3. Step 3: Cross multiply
    5,985.34x = 8,974.34 × 2,283.60
  4. Step 4: Simplify right side
    5,985.34x = 20,493,802.82
  5. Step 5: Solve for x
    x = 20,493,802.82/5,985.34
  6. Step 6: Final answer
    x = 3,424.00

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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.