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Finding the Fourth Proportional to 3,441.52, 5,158.05 and 1,590.13

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Solution

The fourth proportional to 3,441.52, 5,158.05 and 1,590.13 is: 2,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.52 : 5,158.05 = 1,590.13 : x
  2. Step 2: Convert to fraction form
    3,441.52/5,158.05 = 1,590.13/x
  3. Step 3: Cross multiply
    3,441.52x = 5,158.05 × 1,590.13
  4. Step 4: Simplify right side
    3,441.52x = 8,201,970.05
  5. Step 5: Solve for x
    x = 8,201,970.05/3,441.52
  6. Step 6: Final answer
    x = 2,383.24

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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.