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Finding the Fourth Proportional to 6,094.83, 8,411.13 and 3,442.26

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Solution

The fourth proportional to 6,094.83, 8,411.13 and 3,442.26 is: 4,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.83 : 8,411.13 = 3,442.26 : x
  2. Step 2: Convert to fraction form
    6,094.83/8,411.13 = 3,442.26/x
  3. Step 3: Cross multiply
    6,094.83x = 8,411.13 × 3,442.26
  4. Step 4: Simplify right side
    6,094.83x = 28,953,296.35
  5. Step 5: Solve for x
    x = 28,953,296.35/6,094.83
  6. Step 6: Final answer
    x = 4,750.47

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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.