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Finding the Fourth Proportional to 3,487.96, 4,811.64 and 2,071.03

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Solution

The fourth proportional to 3,487.96, 4,811.64 and 2,071.03 is: 2,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.96 : 4,811.64 = 2,071.03 : x
  2. Step 2: Convert to fraction form
    3,487.96/4,811.64 = 2,071.03/x
  3. Step 3: Cross multiply
    3,487.96x = 4,811.64 × 2,071.03
  4. Step 4: Simplify right side
    3,487.96x = 9,965,050.79
  5. Step 5: Solve for x
    x = 9,965,050.79/3,487.96
  6. Step 6: Final answer
    x = 2,856.99

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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.