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Finding the Fourth Proportional to 5,670.51, 7,823.19 and 4,182

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Solution

The fourth proportional to 5,670.51, 7,823.19 and 4,182 is: 5,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.51 : 7,823.19 = 4,182 : x
  2. Step 2: Convert to fraction form
    5,670.51/7,823.19 = 4,182/x
  3. Step 3: Cross multiply
    5,670.51x = 7,823.19 × 4,182
  4. Step 4: Simplify right side
    5,670.51x = 32,716,580.58
  5. Step 5: Solve for x
    x = 32,716,580.58/5,670.51
  6. Step 6: Final answer
    x = 5,769.60

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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.