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Finding the Fourth Proportional to 6,158.50, 8,498.78 and 3,364

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Solution

The fourth proportional to 6,158.50, 8,498.78 and 3,364 is: 4,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.50 : 8,498.78 = 3,364 : x
  2. Step 2: Convert to fraction form
    6,158.50/8,498.78 = 3,364/x
  3. Step 3: Cross multiply
    6,158.50x = 8,498.78 × 3,364
  4. Step 4: Simplify right side
    6,158.50x = 28,589,895.92
  5. Step 5: Solve for x
    x = 28,589,895.92/6,158.50
  6. Step 6: Final answer
    x = 4,642.35

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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.