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Finding the Fourth Proportional to 4,951.42, 7,416.44 and 4,660.62

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Solution

The fourth proportional to 4,951.42, 7,416.44 and 4,660.62 is: 6,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.42 : 7,416.44 = 4,660.62 : x
  2. Step 2: Convert to fraction form
    4,951.42/7,416.44 = 4,660.62/x
  3. Step 3: Cross multiply
    4,951.42x = 7,416.44 × 4,660.62
  4. Step 4: Simplify right side
    4,951.42x = 34,565,208.59
  5. Step 5: Solve for x
    x = 34,565,208.59/4,951.42
  6. Step 6: Final answer
    x = 6,980.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.