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Finding the Fourth Proportional to 4,683.24, 7,016.64 and 4,174.80

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Solution

The fourth proportional to 4,683.24, 7,016.64 and 4,174.80 is: 6,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.24 : 7,016.64 = 4,174.80 : x
  2. Step 2: Convert to fraction form
    4,683.24/7,016.64 = 4,174.80/x
  3. Step 3: Cross multiply
    4,683.24x = 7,016.64 × 4,174.80
  4. Step 4: Simplify right side
    4,683.24x = 29,293,068.67
  5. Step 5: Solve for x
    x = 29,293,068.67/4,683.24
  6. Step 6: Final answer
    x = 6,254.87

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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.