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Finding the Fourth Proportional to 3,856.74, 5,781.06 and 1,666.50

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Solution

The fourth proportional to 3,856.74, 5,781.06 and 1,666.50 is: 2,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.74 : 5,781.06 = 1,666.50 : x
  2. Step 2: Convert to fraction form
    3,856.74/5,781.06 = 1,666.50/x
  3. Step 3: Cross multiply
    3,856.74x = 5,781.06 × 1,666.50
  4. Step 4: Simplify right side
    3,856.74x = 9,634,136.49
  5. Step 5: Solve for x
    x = 9,634,136.49/3,856.74
  6. Step 6: Final answer
    x = 2,498.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.