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Finding the Fourth Proportional to 4,478.91, 6,174.32 and 4,012.35

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Solution

The fourth proportional to 4,478.91, 6,174.32 and 4,012.35 is: 5,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.91 : 6,174.32 = 4,012.35 : x
  2. Step 2: Convert to fraction form
    4,478.91/6,174.32 = 4,012.35/x
  3. Step 3: Cross multiply
    4,478.91x = 6,174.32 × 4,012.35
  4. Step 4: Simplify right side
    4,478.91x = 24,773,532.85
  5. Step 5: Solve for x
    x = 24,773,532.85/4,478.91
  6. Step 6: Final answer
    x = 5,531.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.