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Finding the Fourth Proportional to 5,490.90, 7,572.83 and 4,230.54

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Solution

The fourth proportional to 5,490.90, 7,572.83 and 4,230.54 is: 5,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.90 : 7,572.83 = 4,230.54 : x
  2. Step 2: Convert to fraction form
    5,490.90/7,572.83 = 4,230.54/x
  3. Step 3: Cross multiply
    5,490.90x = 7,572.83 × 4,230.54
  4. Step 4: Simplify right side
    5,490.90x = 32,037,139.08
  5. Step 5: Solve for x
    x = 32,037,139.08/5,490.90
  6. Step 6: Final answer
    x = 5,834.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.