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Finding the Fourth Proportional to 5,782.59, 7,984.58 and 5,340.33

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Solution

The fourth proportional to 5,782.59, 7,984.58 and 5,340.33 is: 7,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.59 : 7,984.58 = 5,340.33 : x
  2. Step 2: Convert to fraction form
    5,782.59/7,984.58 = 5,340.33/x
  3. Step 3: Cross multiply
    5,782.59x = 7,984.58 × 5,340.33
  4. Step 4: Simplify right side
    5,782.59x = 42,640,265.41
  5. Step 5: Solve for x
    x = 42,640,265.41/5,782.59
  6. Step 6: Final answer
    x = 7,373.90

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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.