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Finding the Fourth Proportional to 4,939.25, 7,410.02 and 1,652.40

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Solution

The fourth proportional to 4,939.25, 7,410.02 and 1,652.40 is: 2,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.25 : 7,410.02 = 1,652.40 : x
  2. Step 2: Convert to fraction form
    4,939.25/7,410.02 = 1,652.40/x
  3. Step 3: Cross multiply
    4,939.25x = 7,410.02 × 1,652.40
  4. Step 4: Simplify right side
    4,939.25x = 12,244,308.79
  5. Step 5: Solve for x
    x = 12,244,308.79/4,939.25
  6. Step 6: Final answer
    x = 2,478.98

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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.