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Finding the Fourth Proportional to 5,186.40, 7,743.36 and 5,131.68

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Solution

The fourth proportional to 5,186.40, 7,743.36 and 5,131.68 is: 7,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.40 : 7,743.36 = 5,131.68 : x
  2. Step 2: Convert to fraction form
    5,186.40/7,743.36 = 5,131.68/x
  3. Step 3: Cross multiply
    5,186.40x = 7,743.36 × 5,131.68
  4. Step 4: Simplify right side
    5,186.40x = 39,736,445.64
  5. Step 5: Solve for x
    x = 39,736,445.64/5,186.40
  6. Step 6: Final answer
    x = 7,661.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.