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Finding the Fourth Proportional to 5,417.46, 8,129.85 and 2,645.46

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Solution

The fourth proportional to 5,417.46, 8,129.85 and 2,645.46 is: 3,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.46 : 8,129.85 = 2,645.46 : x
  2. Step 2: Convert to fraction form
    5,417.46/8,129.85 = 2,645.46/x
  3. Step 3: Cross multiply
    5,417.46x = 8,129.85 × 2,645.46
  4. Step 4: Simplify right side
    5,417.46x = 21,507,192.98
  5. Step 5: Solve for x
    x = 21,507,192.98/5,417.46
  6. Step 6: Final answer
    x = 3,969.98

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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.