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Finding the Fourth Proportional to 4,574.89, 6,894.56 and 4,136.64

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Solution

The fourth proportional to 4,574.89, 6,894.56 and 4,136.64 is: 6,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.89 : 6,894.56 = 4,136.64 : x
  2. Step 2: Convert to fraction form
    4,574.89/6,894.56 = 4,136.64/x
  3. Step 3: Cross multiply
    4,574.89x = 6,894.56 × 4,136.64
  4. Step 4: Simplify right side
    4,574.89x = 28,520,312.68
  5. Step 5: Solve for x
    x = 28,520,312.68/4,574.89
  6. Step 6: Final answer
    x = 6,234.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.