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Finding the Fourth Proportional to 3,322.64, 4,984.23 and 3,235.16

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Solution

The fourth proportional to 3,322.64, 4,984.23 and 3,235.16 is: 4,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.64 : 4,984.23 = 3,235.16 : x
  2. Step 2: Convert to fraction form
    3,322.64/4,984.23 = 3,235.16/x
  3. Step 3: Cross multiply
    3,322.64x = 4,984.23 × 3,235.16
  4. Step 4: Simplify right side
    3,322.64x = 16,124,781.53
  5. Step 5: Solve for x
    x = 16,124,781.53/3,322.64
  6. Step 6: Final answer
    x = 4,853.00

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Why These Related Problems?

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