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Finding the Fourth Proportional to 6,292.84, 8,684.34 and 3,460.43

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Solution

The fourth proportional to 6,292.84, 8,684.34 and 3,460.43 is: 4,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.84 : 8,684.34 = 3,460.43 : x
  2. Step 2: Convert to fraction form
    6,292.84/8,684.34 = 3,460.43/x
  3. Step 3: Cross multiply
    6,292.84x = 8,684.34 × 3,460.43
  4. Step 4: Simplify right side
    6,292.84x = 30,051,489.94
  5. Step 5: Solve for x
    x = 30,051,489.94/6,292.84
  6. Step 6: Final answer
    x = 4,775.51

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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.