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Finding the Fourth Proportional to 6,095.54, 8,411.25 and 3,442.58

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Solution

The fourth proportional to 6,095.54, 8,411.25 and 3,442.58 is: 4,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.54 : 8,411.25 = 3,442.58 : x
  2. Step 2: Convert to fraction form
    6,095.54/8,411.25 = 3,442.58/x
  3. Step 3: Cross multiply
    6,095.54x = 8,411.25 × 3,442.58
  4. Step 4: Simplify right side
    6,095.54x = 28,956,401.03
  5. Step 5: Solve for x
    x = 28,956,401.03/6,095.54
  6. Step 6: Final answer
    x = 4,750.42

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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.