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Finding the Fourth Proportional to 5,784.90, 7,983.47 and 3,267.82

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Solution

The fourth proportional to 5,784.90, 7,983.47 and 3,267.82 is: 4,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.90 : 7,983.47 = 3,267.82 : x
  2. Step 2: Convert to fraction form
    5,784.90/7,983.47 = 3,267.82/x
  3. Step 3: Cross multiply
    5,784.90x = 7,983.47 × 3,267.82
  4. Step 4: Simplify right side
    5,784.90x = 26,088,542.94
  5. Step 5: Solve for x
    x = 26,088,542.94/5,784.90
  6. Step 6: Final answer
    x = 4,509.77

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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.