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Finding the Fourth Proportional to 5,427.50, 7,480.92 and 4,956.99

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Solution

The fourth proportional to 5,427.50, 7,480.92 and 4,956.99 is: 6,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.50 : 7,480.92 = 4,956.99 : x
  2. Step 2: Convert to fraction form
    5,427.50/7,480.92 = 4,956.99/x
  3. Step 3: Cross multiply
    5,427.50x = 7,480.92 × 4,956.99
  4. Step 4: Simplify right side
    5,427.50x = 37,082,808.23
  5. Step 5: Solve for x
    x = 37,082,808.23/5,427.50
  6. Step 6: Final answer
    x = 6,832.40

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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.