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Finding the Fourth Proportional to 3,657.95, 5,487.32 and 1,466.42

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Solution

The fourth proportional to 3,657.95, 5,487.32 and 1,466.42 is: 2,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.95 : 5,487.32 = 1,466.42 : x
  2. Step 2: Convert to fraction form
    3,657.95/5,487.32 = 1,466.42/x
  3. Step 3: Cross multiply
    3,657.95x = 5,487.32 × 1,466.42
  4. Step 4: Simplify right side
    3,657.95x = 8,046,733.18
  5. Step 5: Solve for x
    x = 8,046,733.18/3,657.95
  6. Step 6: Final answer
    x = 2,199.80

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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.