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Finding the Fourth Proportional to 5,214.40, 7,821.60 and 2,616.40

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Solution

The fourth proportional to 5,214.40, 7,821.60 and 2,616.40 is: 3,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.40 : 7,821.60 = 2,616.40 : x
  2. Step 2: Convert to fraction form
    5,214.40/7,821.60 = 2,616.40/x
  3. Step 3: Cross multiply
    5,214.40x = 7,821.60 × 2,616.40
  4. Step 4: Simplify right side
    5,214.40x = 20,464,434.24
  5. Step 5: Solve for x
    x = 20,464,434.24/5,214.40
  6. Step 6: Final answer
    x = 3,924.60

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1.5x scale

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.