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Finding the Fourth Proportional to 5,670.72, 7,823.40 and 4,182.18

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Solution

The fourth proportional to 5,670.72, 7,823.40 and 4,182.18 is: 5,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.72 : 7,823.40 = 4,182.18 : x
  2. Step 2: Convert to fraction form
    5,670.72/7,823.40 = 4,182.18/x
  3. Step 3: Cross multiply
    5,670.72x = 7,823.40 × 4,182.18
  4. Step 4: Simplify right side
    5,670.72x = 32,718,867.01
  5. Step 5: Solve for x
    x = 32,718,867.01/5,670.72
  6. Step 6: Final answer
    x = 5,769.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.