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Finding the Fourth Proportional to 5,059.56, 6,986.34 and 3,484.92

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Solution

The fourth proportional to 5,059.56, 6,986.34 and 3,484.92 is: 4,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.56 : 6,986.34 = 3,484.92 : x
  2. Step 2: Convert to fraction form
    5,059.56/6,986.34 = 3,484.92/x
  3. Step 3: Cross multiply
    5,059.56x = 6,986.34 × 3,484.92
  4. Step 4: Simplify right side
    5,059.56x = 24,346,835.99
  5. Step 5: Solve for x
    x = 24,346,835.99/5,059.56
  6. Step 6: Final answer
    x = 4,812.05

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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.