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Finding the Fourth Proportional to 4,463.08, 6,694.59 and 3,490

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Solution

The fourth proportional to 4,463.08, 6,694.59 and 3,490 is: 5,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.08 : 6,694.59 = 3,490 : x
  2. Step 2: Convert to fraction form
    4,463.08/6,694.59 = 3,490/x
  3. Step 3: Cross multiply
    4,463.08x = 6,694.59 × 3,490
  4. Step 4: Simplify right side
    4,463.08x = 23,364,119.10
  5. Step 5: Solve for x
    x = 23,364,119.10/4,463.08
  6. Step 6: Final answer
    x = 5,234.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.