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Finding the Fourth Proportional to 5,106.60, 7,652.70 and 2,025

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Solution

The fourth proportional to 5,106.60, 7,652.70 and 2,025 is: 3,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.60 : 7,652.70 = 2,025 : x
  2. Step 2: Convert to fraction form
    5,106.60/7,652.70 = 2,025/x
  3. Step 3: Cross multiply
    5,106.60x = 7,652.70 × 2,025
  4. Step 4: Simplify right side
    5,106.60x = 15,496,717.50
  5. Step 5: Solve for x
    x = 15,496,717.50/5,106.60
  6. Step 6: Final answer
    x = 3,034.64

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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.