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Finding the Fourth Proportional to 5,729.64, 8,595.72 and 1,834.44

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Solution

The fourth proportional to 5,729.64, 8,595.72 and 1,834.44 is: 2,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.64 : 8,595.72 = 1,834.44 : x
  2. Step 2: Convert to fraction form
    5,729.64/8,595.72 = 1,834.44/x
  3. Step 3: Cross multiply
    5,729.64x = 8,595.72 × 1,834.44
  4. Step 4: Simplify right side
    5,729.64x = 15,768,332.60
  5. Step 5: Solve for x
    x = 15,768,332.60/5,729.64
  6. Step 6: Final answer
    x = 2,752.06

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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.