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Finding the Fourth Proportional to 4,681.91, 6,461.03 and 2,586.03

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Solution

The fourth proportional to 4,681.91, 6,461.03 and 2,586.03 is: 3,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.91 : 6,461.03 = 2,586.03 : x
  2. Step 2: Convert to fraction form
    4,681.91/6,461.03 = 2,586.03/x
  3. Step 3: Cross multiply
    4,681.91x = 6,461.03 × 2,586.03
  4. Step 4: Simplify right side
    4,681.91x = 16,708,404.48
  5. Step 5: Solve for x
    x = 16,708,404.48/4,681.91
  6. Step 6: Final answer
    x = 3,568.72

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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.