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Finding the Fourth Proportional to 5,527.51, 7,628.38 and 3,170.00

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Solution

The fourth proportional to 5,527.51, 7,628.38 and 3,170.00 is: 4,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.51 : 7,628.38 = 3,170.00 : x
  2. Step 2: Convert to fraction form
    5,527.51/7,628.38 = 3,170.00/x
  3. Step 3: Cross multiply
    5,527.51x = 7,628.38 × 3,170.00
  4. Step 4: Simplify right side
    5,527.51x = 24,181,975.75
  5. Step 5: Solve for x
    x = 24,181,975.75/5,527.51
  6. Step 6: Final answer
    x = 4,374.84

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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.