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Finding the Fourth Proportional to 5,214.99, 7,826.13 and 2,295.34

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Solution

The fourth proportional to 5,214.99, 7,826.13 and 2,295.34 is: 3,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.99 : 7,826.13 = 2,295.34 : x
  2. Step 2: Convert to fraction form
    5,214.99/7,826.13 = 2,295.34/x
  3. Step 3: Cross multiply
    5,214.99x = 7,826.13 × 2,295.34
  4. Step 4: Simplify right side
    5,214.99x = 17,963,629.23
  5. Step 5: Solve for x
    x = 17,963,629.23/5,214.99
  6. Step 6: Final answer
    x = 3,444.61

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1.5x scale

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.