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Finding the Fourth Proportional to 3,775.46, 5,663.18 and 1,586.63

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Solution

The fourth proportional to 3,775.46, 5,663.18 and 1,586.63 is: 2,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.46 : 5,663.18 = 1,586.63 : x
  2. Step 2: Convert to fraction form
    3,775.46/5,663.18 = 1,586.63/x
  3. Step 3: Cross multiply
    3,775.46x = 5,663.18 × 1,586.63
  4. Step 4: Simplify right side
    3,775.46x = 8,985,389.41
  5. Step 5: Solve for x
    x = 8,985,389.41/3,775.46
  6. Step 6: Final answer
    x = 2,379.95

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1.5x scale

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.