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Finding the Fourth Proportional to 5,882.34, 8,135.64 and 5,783.92

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Solution

The fourth proportional to 5,882.34, 8,135.64 and 5,783.92 is: 7,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.34 : 8,135.64 = 5,783.92 : x
  2. Step 2: Convert to fraction form
    5,882.34/8,135.64 = 5,783.92/x
  3. Step 3: Cross multiply
    5,882.34x = 8,135.64 × 5,783.92
  4. Step 4: Simplify right side
    5,882.34x = 47,055,890.91
  5. Step 5: Solve for x
    x = 47,055,890.91/5,882.34
  6. Step 6: Final answer
    x = 7,999.52

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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.