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Finding the Fourth Proportional to 3,339.40, 5,004.84 and 1,584.40

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Solution

The fourth proportional to 3,339.40, 5,004.84 and 1,584.40 is: 2,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.40 : 5,004.84 = 1,584.40 : x
  2. Step 2: Convert to fraction form
    3,339.40/5,004.84 = 1,584.40/x
  3. Step 3: Cross multiply
    3,339.40x = 5,004.84 × 1,584.40
  4. Step 4: Simplify right side
    3,339.40x = 7,929,668.50
  5. Step 5: Solve for x
    x = 7,929,668.50/3,339.40
  6. Step 6: Final answer
    x = 2,374.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.