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Finding the Fourth Proportional to 5,782.38, 7,980.57 and 3,265.50

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Solution

The fourth proportional to 5,782.38, 7,980.57 and 3,265.50 is: 4,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.38 : 7,980.57 = 3,265.50 : x
  2. Step 2: Convert to fraction form
    5,782.38/7,980.57 = 3,265.50/x
  3. Step 3: Cross multiply
    5,782.38x = 7,980.57 × 3,265.50
  4. Step 4: Simplify right side
    5,782.38x = 26,060,551.34
  5. Step 5: Solve for x
    x = 26,060,551.34/5,782.38
  6. Step 6: Final answer
    x = 4,506.89

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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.