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Finding the Fourth Proportional to 6,840.58, 10,254.66 and 3,549.82

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Solution

The fourth proportional to 6,840.58, 10,254.66 and 3,549.82 is: 5,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.58 : 10,254.66 = 3,549.82 : x
  2. Step 2: Convert to fraction form
    6,840.58/10,254.66 = 3,549.82/x
  3. Step 3: Cross multiply
    6,840.58x = 10,254.66 × 3,549.82
  4. Step 4: Simplify right side
    6,840.58x = 36,402,197.16
  5. Step 5: Solve for x
    x = 36,402,197.16/6,840.58
  6. Step 6: Final answer
    x = 5,321.51

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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.