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Finding the Fourth Proportional to 3,673.65, 5,071.50 and 2,416.53

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Solution

The fourth proportional to 3,673.65, 5,071.50 and 2,416.53 is: 3,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.65 : 5,071.50 = 2,416.53 : x
  2. Step 2: Convert to fraction form
    3,673.65/5,071.50 = 2,416.53/x
  3. Step 3: Cross multiply
    3,673.65x = 5,071.50 × 2,416.53
  4. Step 4: Simplify right side
    3,673.65x = 12,255,431.90
  5. Step 5: Solve for x
    x = 12,255,431.90/3,673.65
  6. Step 6: Final answer
    x = 3,336.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.