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Finding the Fourth Proportional to 3,218.40, 4,828.06 and 1,575.05

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Solution

The fourth proportional to 3,218.40, 4,828.06 and 1,575.05 is: 2,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.40 : 4,828.06 = 1,575.05 : x
  2. Step 2: Convert to fraction form
    3,218.40/4,828.06 = 1,575.05/x
  3. Step 3: Cross multiply
    3,218.40x = 4,828.06 × 1,575.05
  4. Step 4: Simplify right side
    3,218.40x = 7,604,404.87
  5. Step 5: Solve for x
    x = 7,604,404.87/3,218.40
  6. Step 6: Final answer
    x = 2,362.79

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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.