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Finding the Fourth Proportional to 5,614, 8,421.34 and 1,718.44

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Solution

The fourth proportional to 5,614, 8,421.34 and 1,718.44 is: 2,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614 : 8,421.34 = 1,718.44 : x
  2. Step 2: Convert to fraction form
    5,614/8,421.34 = 1,718.44/x
  3. Step 3: Cross multiply
    5,614x = 8,421.34 × 1,718.44
  4. Step 4: Simplify right side
    5,614x = 14,471,567.51
  5. Step 5: Solve for x
    x = 14,471,567.51/5,614
  6. Step 6: Final answer
    x = 2,577.76

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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.