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Finding the Fourth Proportional to 4,661.89, 6,433.41 and 2,566

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Solution

The fourth proportional to 4,661.89, 6,433.41 and 2,566 is: 3,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.89 : 6,433.41 = 2,566 : x
  2. Step 2: Convert to fraction form
    4,661.89/6,433.41 = 2,566/x
  3. Step 3: Cross multiply
    4,661.89x = 6,433.41 × 2,566
  4. Step 4: Simplify right side
    4,661.89x = 16,508,130.06
  5. Step 5: Solve for x
    x = 16,508,130.06/4,661.89
  6. Step 6: Final answer
    x = 3,541.08

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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.