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Finding the Fourth Proportional to 3,435.64, 5,151.98 and 1,486.46

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Solution

The fourth proportional to 3,435.64, 5,151.98 and 1,486.46 is: 2,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.64 : 5,151.98 = 1,486.46 : x
  2. Step 2: Convert to fraction form
    3,435.64/5,151.98 = 1,486.46/x
  3. Step 3: Cross multiply
    3,435.64x = 5,151.98 × 1,486.46
  4. Step 4: Simplify right side
    3,435.64x = 7,658,212.19
  5. Step 5: Solve for x
    x = 7,658,212.19/3,435.64
  6. Step 6: Final answer
    x = 2,229.05

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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.