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Finding the Fourth Proportional to 5,901.60, 8,841.60 and 4,972.80

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Solution

The fourth proportional to 5,901.60, 8,841.60 and 4,972.80 is: 7,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.60 : 8,841.60 = 4,972.80 : x
  2. Step 2: Convert to fraction form
    5,901.60/8,841.60 = 4,972.80/x
  3. Step 3: Cross multiply
    5,901.60x = 8,841.60 × 4,972.80
  4. Step 4: Simplify right side
    5,901.60x = 43,967,508.48
  5. Step 5: Solve for x
    x = 43,967,508.48/5,901.60
  6. Step 6: Final answer
    x = 7,450.10

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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.