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Finding the Fourth Proportional to 5,730.78, 8,594.12 and 1,834.14

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Solution

The fourth proportional to 5,730.78, 8,594.12 and 1,834.14 is: 2,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.78 : 8,594.12 = 1,834.14 : x
  2. Step 2: Convert to fraction form
    5,730.78/8,594.12 = 1,834.14/x
  3. Step 3: Cross multiply
    5,730.78x = 8,594.12 × 1,834.14
  4. Step 4: Simplify right side
    5,730.78x = 15,762,819.26
  5. Step 5: Solve for x
    x = 15,762,819.26/5,730.78
  6. Step 6: Final answer
    x = 2,750.55

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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.