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Finding the Fourth Proportional to 5,411.64, 8,118.40 and 1,713.82

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Solution

The fourth proportional to 5,411.64, 8,118.40 and 1,713.82 is: 2,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.64 : 8,118.40 = 1,713.82 : x
  2. Step 2: Convert to fraction form
    5,411.64/8,118.40 = 1,713.82/x
  3. Step 3: Cross multiply
    5,411.64x = 8,118.40 × 1,713.82
  4. Step 4: Simplify right side
    5,411.64x = 13,913,476.29
  5. Step 5: Solve for x
    x = 13,913,476.29/5,411.64
  6. Step 6: Final answer
    x = 2,571.03

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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.