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Finding the Fourth Proportional to 5,295.74, 7,308 and 3,057.62

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Solution

The fourth proportional to 5,295.74, 7,308 and 3,057.62 is: 4,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.74 : 7,308 = 3,057.62 : x
  2. Step 2: Convert to fraction form
    5,295.74/7,308 = 3,057.62/x
  3. Step 3: Cross multiply
    5,295.74x = 7,308 × 3,057.62
  4. Step 4: Simplify right side
    5,295.74x = 22,345,086.96
  5. Step 5: Solve for x
    x = 22,345,086.96/5,295.74
  6. Step 6: Final answer
    x = 4,219.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.