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Finding the Fourth Proportional to 3,657.66, 5,486.72 and 1,466.10

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Solution

The fourth proportional to 3,657.66, 5,486.72 and 1,466.10 is: 2,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.66 : 5,486.72 = 1,466.10 : x
  2. Step 2: Convert to fraction form
    3,657.66/5,486.72 = 1,466.10/x
  3. Step 3: Cross multiply
    3,657.66x = 5,486.72 × 1,466.10
  4. Step 4: Simplify right side
    3,657.66x = 8,044,092.42
  5. Step 5: Solve for x
    x = 8,044,092.42/3,657.66
  6. Step 6: Final answer
    x = 2,199.25

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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.