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Finding the Fourth Proportional to 5,189.72, 7,746.92 and 4,804.28

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Solution

The fourth proportional to 5,189.72, 7,746.92 and 4,804.28 is: 7,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.72 : 7,746.92 = 4,804.28 : x
  2. Step 2: Convert to fraction form
    5,189.72/7,746.92 = 4,804.28/x
  3. Step 3: Cross multiply
    5,189.72x = 7,746.92 × 4,804.28
  4. Step 4: Simplify right side
    5,189.72x = 37,218,372.82
  5. Step 5: Solve for x
    x = 37,218,372.82/5,189.72
  6. Step 6: Final answer
    x = 7,171.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.