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Finding the Fourth Proportional to 5,782.74, 7,980.15 and 3,264.83

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Solution

The fourth proportional to 5,782.74, 7,980.15 and 3,264.83 is: 4,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.74 : 7,980.15 = 3,264.83 : x
  2. Step 2: Convert to fraction form
    5,782.74/7,980.15 = 3,264.83/x
  3. Step 3: Cross multiply
    5,782.74x = 7,980.15 × 3,264.83
  4. Step 4: Simplify right side
    5,782.74x = 26,053,830.29
  5. Step 5: Solve for x
    x = 26,053,830.29/5,782.74
  6. Step 6: Final answer
    x = 4,505.45

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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.