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Finding the Fourth Proportional to 4,616.47, 6,368.51 and 3,022.42

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Solution

The fourth proportional to 4,616.47, 6,368.51 and 3,022.42 is: 4,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.47 : 6,368.51 = 3,022.42 : x
  2. Step 2: Convert to fraction form
    4,616.47/6,368.51 = 3,022.42/x
  3. Step 3: Cross multiply
    4,616.47x = 6,368.51 × 3,022.42
  4. Step 4: Simplify right side
    4,616.47x = 19,248,311.99
  5. Step 5: Solve for x
    x = 19,248,311.99/4,616.47
  6. Step 6: Final answer
    x = 4,169.49

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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.