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Finding the Fourth Proportional to 6,291.40, 8,682.08 and 3,420.10

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Solution

The fourth proportional to 6,291.40, 8,682.08 and 3,420.10 is: 4,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.40 : 8,682.08 = 3,420.10 : x
  2. Step 2: Convert to fraction form
    6,291.40/8,682.08 = 3,420.10/x
  3. Step 3: Cross multiply
    6,291.40x = 8,682.08 × 3,420.10
  4. Step 4: Simplify right side
    6,291.40x = 29,693,581.81
  5. Step 5: Solve for x
    x = 29,693,581.81/6,291.40
  6. Step 6: Final answer
    x = 4,719.71

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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.