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Finding the Fourth Proportional to 4,617.64, 6,928.08 and 2,022.40

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Solution

The fourth proportional to 4,617.64, 6,928.08 and 2,022.40 is: 3,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.64 : 6,928.08 = 2,022.40 : x
  2. Step 2: Convert to fraction form
    4,617.64/6,928.08 = 2,022.40/x
  3. Step 3: Cross multiply
    4,617.64x = 6,928.08 × 2,022.40
  4. Step 4: Simplify right side
    4,617.64x = 14,011,348.99
  5. Step 5: Solve for x
    x = 14,011,348.99/4,617.64
  6. Step 6: Final answer
    x = 3,034.31

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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.