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Finding the Fourth Proportional to 5,673.04, 7,828.72 and 3,189.04

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Solution

The fourth proportional to 5,673.04, 7,828.72 and 3,189.04 is: 4,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.04 : 7,828.72 = 3,189.04 : x
  2. Step 2: Convert to fraction form
    5,673.04/7,828.72 = 3,189.04/x
  3. Step 3: Cross multiply
    5,673.04x = 7,828.72 × 3,189.04
  4. Step 4: Simplify right side
    5,673.04x = 24,966,101.23
  5. Step 5: Solve for x
    x = 24,966,101.23/5,673.04
  6. Step 6: Final answer
    x = 4,400.83

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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.