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Finding the Fourth Proportional to 5,783.29, 7,980.94 and 3,265.92

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Solution

The fourth proportional to 5,783.29, 7,980.94 and 3,265.92 is: 4,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.29 : 7,980.94 = 3,265.92 : x
  2. Step 2: Convert to fraction form
    5,783.29/7,980.94 = 3,265.92/x
  3. Step 3: Cross multiply
    5,783.29x = 7,980.94 × 3,265.92
  4. Step 4: Simplify right side
    5,783.29x = 26,065,111.56
  5. Step 5: Solve for x
    x = 26,065,111.56/5,783.29
  6. Step 6: Final answer
    x = 4,506.97

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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.