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Finding the Fourth Proportional to 5,794.12, 7,992.96 and 3,804.40

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Solution

The fourth proportional to 5,794.12, 7,992.96 and 3,804.40 is: 5,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.12 : 7,992.96 = 3,804.40 : x
  2. Step 2: Convert to fraction form
    5,794.12/7,992.96 = 3,804.40/x
  3. Step 3: Cross multiply
    5,794.12x = 7,992.96 × 3,804.40
  4. Step 4: Simplify right side
    5,794.12x = 30,408,417.02
  5. Step 5: Solve for x
    x = 30,408,417.02/5,794.12
  6. Step 6: Final answer
    x = 5,248.15

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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.