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Finding the Fourth Proportional to 3,226.58, 4,840.50 and 1,035.14

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Solution

The fourth proportional to 3,226.58, 4,840.50 and 1,035.14 is: 1,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.58 : 4,840.50 = 1,035.14 : x
  2. Step 2: Convert to fraction form
    3,226.58/4,840.50 = 1,035.14/x
  3. Step 3: Cross multiply
    3,226.58x = 4,840.50 × 1,035.14
  4. Step 4: Simplify right side
    3,226.58x = 5,010,595.17
  5. Step 5: Solve for x
    x = 5,010,595.17/3,226.58
  6. Step 6: Final answer
    x = 1,552.91

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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.