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Finding the Fourth Proportional to 3,490.32, 5,235.48 and 1,642.74

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Solution

The fourth proportional to 3,490.32, 5,235.48 and 1,642.74 is: 2,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.32 : 5,235.48 = 1,642.74 : x
  2. Step 2: Convert to fraction form
    3,490.32/5,235.48 = 1,642.74/x
  3. Step 3: Cross multiply
    3,490.32x = 5,235.48 × 1,642.74
  4. Step 4: Simplify right side
    3,490.32x = 8,600,532.42
  5. Step 5: Solve for x
    x = 8,600,532.42/3,490.32
  6. Step 6: Final answer
    x = 2,464.11

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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.