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Finding the Fourth Proportional to 3,460.10, 5,188.55 and 994.32

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Solution

The fourth proportional to 3,460.10, 5,188.55 and 994.32 is: 1,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.10 : 5,188.55 = 994.32 : x
  2. Step 2: Convert to fraction form
    3,460.10/5,188.55 = 994.32/x
  3. Step 3: Cross multiply
    3,460.10x = 5,188.55 × 994.32
  4. Step 4: Simplify right side
    3,460.10x = 5,159,074.06
  5. Step 5: Solve for x
    x = 5,159,074.06/3,460.10
  6. Step 6: Final answer
    x = 1,491.02

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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.