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Finding the Fourth Proportional to 4,342.50, 5,995.38 and 3,345.90

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Solution

The fourth proportional to 4,342.50, 5,995.38 and 3,345.90 is: 4,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.50 : 5,995.38 = 3,345.90 : x
  2. Step 2: Convert to fraction form
    4,342.50/5,995.38 = 3,345.90/x
  3. Step 3: Cross multiply
    4,342.50x = 5,995.38 × 3,345.90
  4. Step 4: Simplify right side
    4,342.50x = 20,059,941.94
  5. Step 5: Solve for x
    x = 20,059,941.94/4,342.50
  6. Step 6: Final answer
    x = 4,619.45

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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.