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Finding the Fourth Proportional to 5,854.90, 8,782.83 and 1,959.34

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Solution

The fourth proportional to 5,854.90, 8,782.83 and 1,959.34 is: 2,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.90 : 8,782.83 = 1,959.34 : x
  2. Step 2: Convert to fraction form
    5,854.90/8,782.83 = 1,959.34/x
  3. Step 3: Cross multiply
    5,854.90x = 8,782.83 × 1,959.34
  4. Step 4: Simplify right side
    5,854.90x = 17,208,550.13
  5. Step 5: Solve for x
    x = 17,208,550.13/5,854.90
  6. Step 6: Final answer
    x = 2,939.17

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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.