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Finding the Fourth Proportional to 5,684.56, 7,842.47 and 4,191.93

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Solution

The fourth proportional to 5,684.56, 7,842.47 and 4,191.93 is: 5,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.56 : 7,842.47 = 4,191.93 : x
  2. Step 2: Convert to fraction form
    5,684.56/7,842.47 = 4,191.93/x
  3. Step 3: Cross multiply
    5,684.56x = 7,842.47 × 4,191.93
  4. Step 4: Simplify right side
    5,684.56x = 32,875,085.27
  5. Step 5: Solve for x
    x = 32,875,085.27/5,684.56
  6. Step 6: Final answer
    x = 5,783.22

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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.