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Finding the Fourth Proportional to 5,957.38, 8,204.54 and 5,828.24

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Solution

The fourth proportional to 5,957.38, 8,204.54 and 5,828.24 is: 8,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.38 : 8,204.54 = 5,828.24 : x
  2. Step 2: Convert to fraction form
    5,957.38/8,204.54 = 5,828.24/x
  3. Step 3: Cross multiply
    5,957.38x = 8,204.54 × 5,828.24
  4. Step 4: Simplify right side
    5,957.38x = 47,818,006.21
  5. Step 5: Solve for x
    x = 47,818,006.21/5,957.38
  6. Step 6: Final answer
    x = 8,026.68

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1.5x scale

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.