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Finding the Fourth Proportional to 5,586.72, 7,713.29 and 3,464.51

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Solution

The fourth proportional to 5,586.72, 7,713.29 and 3,464.51 is: 4,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.72 : 7,713.29 = 3,464.51 : x
  2. Step 2: Convert to fraction form
    5,586.72/7,713.29 = 3,464.51/x
  3. Step 3: Cross multiply
    5,586.72x = 7,713.29 × 3,464.51
  4. Step 4: Simplify right side
    5,586.72x = 26,722,770.34
  5. Step 5: Solve for x
    x = 26,722,770.34/5,586.72
  6. Step 6: Final answer
    x = 4,783.27

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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.