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Finding the Fourth Proportional to 4,612.16, 6,884.56 and 4,000.16

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Solution

The fourth proportional to 4,612.16, 6,884.56 and 4,000.16 is: 5,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.16 : 6,884.56 = 4,000.16 : x
  2. Step 2: Convert to fraction form
    4,612.16/6,884.56 = 4,000.16/x
  3. Step 3: Cross multiply
    4,612.16x = 6,884.56 × 4,000.16
  4. Step 4: Simplify right side
    4,612.16x = 27,539,341.53
  5. Step 5: Solve for x
    x = 27,539,341.53/4,612.16
  6. Step 6: Final answer
    x = 5,971.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.