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Finding the Fourth Proportional to 5,393.76, 7,421.13 and 4,212.78

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Solution

The fourth proportional to 5,393.76, 7,421.13 and 4,212.78 is: 5,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.76 : 7,421.13 = 4,212.78 : x
  2. Step 2: Convert to fraction form
    5,393.76/7,421.13 = 4,212.78/x
  3. Step 3: Cross multiply
    5,393.76x = 7,421.13 × 4,212.78
  4. Step 4: Simplify right side
    5,393.76x = 31,263,588.04
  5. Step 5: Solve for x
    x = 31,263,588.04/5,393.76
  6. Step 6: Final answer
    x = 5,796.25

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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.