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Finding the Fourth Proportional to 4,778.64, 7,162.02 and 3,317.40

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Solution

The fourth proportional to 4,778.64, 7,162.02 and 3,317.40 is: 4,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.64 : 7,162.02 = 3,317.40 : x
  2. Step 2: Convert to fraction form
    4,778.64/7,162.02 = 3,317.40/x
  3. Step 3: Cross multiply
    4,778.64x = 7,162.02 × 3,317.40
  4. Step 4: Simplify right side
    4,778.64x = 23,759,285.15
  5. Step 5: Solve for x
    x = 23,759,285.15/4,778.64
  6. Step 6: Final answer
    x = 4,971.98

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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.