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Finding the Fourth Proportional to 3,574.74, 4,928.10 and 3,082.62

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Solution

The fourth proportional to 3,574.74, 4,928.10 and 3,082.62 is: 4,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.74 : 4,928.10 = 3,082.62 : x
  2. Step 2: Convert to fraction form
    3,574.74/4,928.10 = 3,082.62/x
  3. Step 3: Cross multiply
    3,574.74x = 4,928.10 × 3,082.62
  4. Step 4: Simplify right side
    3,574.74x = 15,191,459.62
  5. Step 5: Solve for x
    x = 15,191,459.62/3,574.74
  6. Step 6: Final answer
    x = 4,249.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.