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Finding the Fourth Proportional to 4,601.88, 6,894.32 and 3,563.06

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Solution

The fourth proportional to 4,601.88, 6,894.32 and 3,563.06 is: 5,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.88 : 6,894.32 = 3,563.06 : x
  2. Step 2: Convert to fraction form
    4,601.88/6,894.32 = 3,563.06/x
  3. Step 3: Cross multiply
    4,601.88x = 6,894.32 × 3,563.06
  4. Step 4: Simplify right side
    4,601.88x = 24,564,823.53
  5. Step 5: Solve for x
    x = 24,564,823.53/4,601.88
  6. Step 6: Final answer
    x = 5,338.00

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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.