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Finding the Fourth Proportional to 3,900.48, 5,850.74 and 1,709.40

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Solution

The fourth proportional to 3,900.48, 5,850.74 and 1,709.40 is: 2,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.48 : 5,850.74 = 1,709.40 : x
  2. Step 2: Convert to fraction form
    3,900.48/5,850.74 = 1,709.40/x
  3. Step 3: Cross multiply
    3,900.48x = 5,850.74 × 1,709.40
  4. Step 4: Simplify right side
    3,900.48x = 10,001,254.96
  5. Step 5: Solve for x
    x = 10,001,254.96/3,900.48
  6. Step 6: Final answer
    x = 2,564.11

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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.