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Finding the Fourth Proportional to 4,542.90, 6,814.02 and 1,210.89

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Solution

The fourth proportional to 4,542.90, 6,814.02 and 1,210.89 is: 1,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.90 : 6,814.02 = 1,210.89 : x
  2. Step 2: Convert to fraction form
    4,542.90/6,814.02 = 1,210.89/x
  3. Step 3: Cross multiply
    4,542.90x = 6,814.02 × 1,210.89
  4. Step 4: Simplify right side
    4,542.90x = 8,251,028.68
  5. Step 5: Solve for x
    x = 8,251,028.68/4,542.90
  6. Step 6: Final answer
    x = 1,816.25

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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.