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Finding the Fourth Proportional to 3,590.55, 5,385.82 and 1,125.56

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Solution

The fourth proportional to 3,590.55, 5,385.82 and 1,125.56 is: 1,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.55 : 5,385.82 = 1,125.56 : x
  2. Step 2: Convert to fraction form
    3,590.55/5,385.82 = 1,125.56/x
  3. Step 3: Cross multiply
    3,590.55x = 5,385.82 × 1,125.56
  4. Step 4: Simplify right side
    3,590.55x = 6,062,063.56
  5. Step 5: Solve for x
    x = 6,062,063.56/3,590.55
  6. Step 6: Final answer
    x = 1,688.34

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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.