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Finding the Fourth Proportional to 5,295.70, 7,343 and 5,120.08

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Solution

The fourth proportional to 5,295.70, 7,343 and 5,120.08 is: 7,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.70 : 7,343 = 5,120.08 : x
  2. Step 2: Convert to fraction form
    5,295.70/7,343 = 5,120.08/x
  3. Step 3: Cross multiply
    5,295.70x = 7,343 × 5,120.08
  4. Step 4: Simplify right side
    5,295.70x = 37,596,747.44
  5. Step 5: Solve for x
    x = 37,596,747.44/5,295.70
  6. Step 6: Final answer
    x = 7,099.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.