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Finding the Fourth Proportional to 5,782.87, 7,980.50 and 3,264.83

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Solution

The fourth proportional to 5,782.87, 7,980.50 and 3,264.83 is: 4,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.87 : 7,980.50 = 3,264.83 : x
  2. Step 2: Convert to fraction form
    5,782.87/7,980.50 = 3,264.83/x
  3. Step 3: Cross multiply
    5,782.87x = 7,980.50 × 3,264.83
  4. Step 4: Simplify right side
    5,782.87x = 26,054,987.26
  5. Step 5: Solve for x
    x = 26,054,987.26/5,782.87
  6. Step 6: Final answer
    x = 4,505.55

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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.