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Finding the Fourth Proportional to 4,869.60, 7,300.68 and 2,270.64

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Solution

The fourth proportional to 4,869.60, 7,300.68 and 2,270.64 is: 3,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.60 : 7,300.68 = 2,270.64 : x
  2. Step 2: Convert to fraction form
    4,869.60/7,300.68 = 2,270.64/x
  3. Step 3: Cross multiply
    4,869.60x = 7,300.68 × 2,270.64
  4. Step 4: Simplify right side
    4,869.60x = 16,577,216.04
  5. Step 5: Solve for x
    x = 16,577,216.04/4,869.60
  6. Step 6: Final answer
    x = 3,404.23

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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.