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Finding the Fourth Proportional to 5,468.06, 8,203.29 and 1,770.66

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Solution

The fourth proportional to 5,468.06, 8,203.29 and 1,770.66 is: 2,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.06 : 8,203.29 = 1,770.66 : x
  2. Step 2: Convert to fraction form
    5,468.06/8,203.29 = 1,770.66/x
  3. Step 3: Cross multiply
    5,468.06x = 8,203.29 × 1,770.66
  4. Step 4: Simplify right side
    5,468.06x = 14,525,237.47
  5. Step 5: Solve for x
    x = 14,525,237.47/5,468.06
  6. Step 6: Final answer
    x = 2,656.38

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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.