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Finding the Fourth Proportional to 5,303.80, 7,941.10 and 2,693.96

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Solution

The fourth proportional to 5,303.80, 7,941.10 and 2,693.96 is: 4,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.80 : 7,941.10 = 2,693.96 : x
  2. Step 2: Convert to fraction form
    5,303.80/7,941.10 = 2,693.96/x
  3. Step 3: Cross multiply
    5,303.80x = 7,941.10 × 2,693.96
  4. Step 4: Simplify right side
    5,303.80x = 21,393,005.76
  5. Step 5: Solve for x
    x = 21,393,005.76/5,303.80
  6. Step 6: Final answer
    x = 4,033.52

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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.