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Finding the Fourth Proportional to 3,590.73, 5,385.89 and 958.16

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Solution

The fourth proportional to 3,590.73, 5,385.89 and 958.16 is: 1,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.73 : 5,385.89 = 958.16 : x
  2. Step 2: Convert to fraction form
    3,590.73/5,385.89 = 958.16/x
  3. Step 3: Cross multiply
    3,590.73x = 5,385.89 × 958.16
  4. Step 4: Simplify right side
    3,590.73x = 5,160,560.22
  5. Step 5: Solve for x
    x = 5,160,560.22/3,590.73
  6. Step 6: Final answer
    x = 1,437.19

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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.