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Finding the Fourth Proportional to 5,417.82, 8,126.72 and 1,313.82

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Solution

The fourth proportional to 5,417.82, 8,126.72 and 1,313.82 is: 1,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.82 : 8,126.72 = 1,313.82 : x
  2. Step 2: Convert to fraction form
    5,417.82/8,126.72 = 1,313.82/x
  3. Step 3: Cross multiply
    5,417.82x = 8,126.72 × 1,313.82
  4. Step 4: Simplify right side
    5,417.82x = 10,677,040.70
  5. Step 5: Solve for x
    x = 10,677,040.70/5,417.82
  6. Step 6: Final answer
    x = 1,970.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.