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Finding the Fourth Proportional to 4,931.48, 7,403.70 and 3,471.32

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Solution

The fourth proportional to 4,931.48, 7,403.70 and 3,471.32 is: 5,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.48 : 7,403.70 = 3,471.32 : x
  2. Step 2: Convert to fraction form
    4,931.48/7,403.70 = 3,471.32/x
  3. Step 3: Cross multiply
    4,931.48x = 7,403.70 × 3,471.32
  4. Step 4: Simplify right side
    4,931.48x = 25,700,611.88
  5. Step 5: Solve for x
    x = 25,700,611.88/4,931.48
  6. Step 6: Final answer
    x = 5,211.54

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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.