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Finding the Fourth Proportional to 6,088.06, 8,401.90 and 3,434.50

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Solution

The fourth proportional to 6,088.06, 8,401.90 and 3,434.50 is: 4,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.06 : 8,401.90 = 3,434.50 : x
  2. Step 2: Convert to fraction form
    6,088.06/8,401.90 = 3,434.50/x
  3. Step 3: Cross multiply
    6,088.06x = 8,401.90 × 3,434.50
  4. Step 4: Simplify right side
    6,088.06x = 28,856,325.55
  5. Step 5: Solve for x
    x = 28,856,325.55/6,088.06
  6. Step 6: Final answer
    x = 4,739.82

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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.