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Finding the Fourth Proportional to 4,663.61, 6,433.74 and 3,068.21

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Solution

The fourth proportional to 4,663.61, 6,433.74 and 3,068.21 is: 4,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.61 : 6,433.74 = 3,068.21 : x
  2. Step 2: Convert to fraction form
    4,663.61/6,433.74 = 3,068.21/x
  3. Step 3: Cross multiply
    4,663.61x = 6,433.74 × 3,068.21
  4. Step 4: Simplify right side
    4,663.61x = 19,740,017.90
  5. Step 5: Solve for x
    x = 19,740,017.90/4,663.61
  6. Step 6: Final answer
    x = 4,232.78

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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.