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Finding the Fourth Proportional to 4,681.97, 6,461.00 and 2,586.05

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Solution

The fourth proportional to 4,681.97, 6,461.00 and 2,586.05 is: 3,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.97 : 6,461.00 = 2,586.05 : x
  2. Step 2: Convert to fraction form
    4,681.97/6,461.00 = 2,586.05/x
  3. Step 3: Cross multiply
    4,681.97x = 6,461.00 × 2,586.05
  4. Step 4: Simplify right side
    4,681.97x = 16,708,456.12
  5. Step 5: Solve for x
    x = 16,708,456.12/4,681.97
  6. Step 6: Final answer
    x = 3,568.68

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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.