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Finding the Fourth Proportional to 3,225.84, 4,837.86 and 1,145.58

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Solution

The fourth proportional to 3,225.84, 4,837.86 and 1,145.58 is: 1,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.84 : 4,837.86 = 1,145.58 : x
  2. Step 2: Convert to fraction form
    3,225.84/4,837.86 = 1,145.58/x
  3. Step 3: Cross multiply
    3,225.84x = 4,837.86 × 1,145.58
  4. Step 4: Simplify right side
    3,225.84x = 5,542,155.66
  5. Step 5: Solve for x
    x = 5,542,155.66/3,225.84
  6. Step 6: Final answer
    x = 1,718.05

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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.