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Finding the Fourth Proportional to 3,658.13, 5,486.74 and 1,466.88

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Solution

The fourth proportional to 3,658.13, 5,486.74 and 1,466.88 is: 2,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.13 : 5,486.74 = 1,466.88 : x
  2. Step 2: Convert to fraction form
    3,658.13/5,486.74 = 1,466.88/x
  3. Step 3: Cross multiply
    3,658.13x = 5,486.74 × 1,466.88
  4. Step 4: Simplify right side
    3,658.13x = 8,048,364.93
  5. Step 5: Solve for x
    x = 8,048,364.93/3,658.13
  6. Step 6: Final answer
    x = 2,200.13

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