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Finding the Fourth Proportional to 7,333.40, 10,983.90 and 2,948.60

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Solution

The fourth proportional to 7,333.40, 10,983.90 and 2,948.60 is: 4,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.40 : 10,983.90 = 2,948.60 : x
  2. Step 2: Convert to fraction form
    7,333.40/10,983.90 = 2,948.60/x
  3. Step 3: Cross multiply
    7,333.40x = 10,983.90 × 2,948.60
  4. Step 4: Simplify right side
    7,333.40x = 32,387,127.54
  5. Step 5: Solve for x
    x = 32,387,127.54/7,333.40
  6. Step 6: Final answer
    x = 4,416.39

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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.