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Finding the Fourth Proportional to 5,782.77, 8,668.62 and 3,809.93

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Solution

The fourth proportional to 5,782.77, 8,668.62 and 3,809.93 is: 5,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.77 : 8,668.62 = 3,809.93 : x
  2. Step 2: Convert to fraction form
    5,782.77/8,668.62 = 3,809.93/x
  3. Step 3: Cross multiply
    5,782.77x = 8,668.62 × 3,809.93
  4. Step 4: Simplify right side
    5,782.77x = 33,026,792.05
  5. Step 5: Solve for x
    x = 33,026,792.05/5,782.77
  6. Step 6: Final answer
    x = 5,711.24

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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.