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Finding the Fourth Proportional to 3,595.85, 5,394.08 and 998.78

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Solution

The fourth proportional to 3,595.85, 5,394.08 and 998.78 is: 1,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.85 : 5,394.08 = 998.78 : x
  2. Step 2: Convert to fraction form
    3,595.85/5,394.08 = 998.78/x
  3. Step 3: Cross multiply
    3,595.85x = 5,394.08 × 998.78
  4. Step 4: Simplify right side
    3,595.85x = 5,387,499.22
  5. Step 5: Solve for x
    x = 5,387,499.22/3,595.85
  6. Step 6: Final answer
    x = 1,498.25

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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.