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Finding the Fourth Proportional to 6,094.82, 8,411.12 and 3,442.25

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Solution

The fourth proportional to 6,094.82, 8,411.12 and 3,442.25 is: 4,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.82 : 8,411.12 = 3,442.25 : x
  2. Step 2: Convert to fraction form
    6,094.82/8,411.12 = 3,442.25/x
  3. Step 3: Cross multiply
    6,094.82x = 8,411.12 × 3,442.25
  4. Step 4: Simplify right side
    6,094.82x = 28,953,118.55
  5. Step 5: Solve for x
    x = 28,953,118.55/6,094.82
  6. Step 6: Final answer
    x = 4,750.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.