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Finding the Fourth Proportional to 5,071.84, 7,602.54 and 2,471.56

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Solution

The fourth proportional to 5,071.84, 7,602.54 and 2,471.56 is: 3,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.84 : 7,602.54 = 2,471.56 : x
  2. Step 2: Convert to fraction form
    5,071.84/7,602.54 = 2,471.56/x
  3. Step 3: Cross multiply
    5,071.84x = 7,602.54 × 2,471.56
  4. Step 4: Simplify right side
    5,071.84x = 18,790,133.76
  5. Step 5: Solve for x
    x = 18,790,133.76/5,071.84
  6. Step 6: Final answer
    x = 3,704.80

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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.