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Finding the Fourth Proportional to 6,085.48, 8,398.26 and 3,433

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Solution

The fourth proportional to 6,085.48, 8,398.26 and 3,433 is: 4,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.48 : 8,398.26 = 3,433 : x
  2. Step 2: Convert to fraction form
    6,085.48/8,398.26 = 3,433/x
  3. Step 3: Cross multiply
    6,085.48x = 8,398.26 × 3,433
  4. Step 4: Simplify right side
    6,085.48x = 28,831,226.58
  5. Step 5: Solve for x
    x = 28,831,226.58/6,085.48
  6. Step 6: Final answer
    x = 4,737.71

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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.