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Finding the Fourth Proportional to 6,095.34, 8,411.10 and 3,442.98

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Solution

The fourth proportional to 6,095.34, 8,411.10 and 3,442.98 is: 4,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.34 : 8,411.10 = 3,442.98 : x
  2. Step 2: Convert to fraction form
    6,095.34/8,411.10 = 3,442.98/x
  3. Step 3: Cross multiply
    6,095.34x = 8,411.10 × 3,442.98
  4. Step 4: Simplify right side
    6,095.34x = 28,959,249.08
  5. Step 5: Solve for x
    x = 28,959,249.08/6,095.34
  6. Step 6: Final answer
    x = 4,751.05

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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.