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Finding the Fourth Proportional to 5,119.42, 7,679.04 and 1,656.67

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Solution

The fourth proportional to 5,119.42, 7,679.04 and 1,656.67 is: 2,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.42 : 7,679.04 = 1,656.67 : x
  2. Step 2: Convert to fraction form
    5,119.42/7,679.04 = 1,656.67/x
  3. Step 3: Cross multiply
    5,119.42x = 7,679.04 × 1,656.67
  4. Step 4: Simplify right side
    5,119.42x = 12,721,635.20
  5. Step 5: Solve for x
    x = 12,721,635.20/5,119.42
  6. Step 6: Final answer
    x = 2,484.98

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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.