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Finding the Fourth Proportional to 5,301.94, 7,313.36 and 3,415.98

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Solution

The fourth proportional to 5,301.94, 7,313.36 and 3,415.98 is: 4,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.94 : 7,313.36 = 3,415.98 : x
  2. Step 2: Convert to fraction form
    5,301.94/7,313.36 = 3,415.98/x
  3. Step 3: Cross multiply
    5,301.94x = 7,313.36 × 3,415.98
  4. Step 4: Simplify right side
    5,301.94x = 24,982,291.49
  5. Step 5: Solve for x
    x = 24,982,291.49/5,301.94
  6. Step 6: Final answer
    x = 4,711.92

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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.