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Finding the Fourth Proportional to 4,646.16, 6,972.89 and 3,002.27

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Solution

The fourth proportional to 4,646.16, 6,972.89 and 3,002.27 is: 4,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.16 : 6,972.89 = 3,002.27 : x
  2. Step 2: Convert to fraction form
    4,646.16/6,972.89 = 3,002.27/x
  3. Step 3: Cross multiply
    4,646.16x = 6,972.89 × 3,002.27
  4. Step 4: Simplify right side
    4,646.16x = 20,934,448.58
  5. Step 5: Solve for x
    x = 20,934,448.58/4,646.16
  6. Step 6: Final answer
    x = 4,505.75

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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.