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Finding the Fourth Proportional to 3,590.69, 5,385.62 and 958.40

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Solution

The fourth proportional to 3,590.69, 5,385.62 and 958.40 is: 1,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.69 : 5,385.62 = 958.40 : x
  2. Step 2: Convert to fraction form
    3,590.69/5,385.62 = 958.40/x
  3. Step 3: Cross multiply
    3,590.69x = 5,385.62 × 958.40
  4. Step 4: Simplify right side
    3,590.69x = 5,161,546.49
  5. Step 5: Solve for x
    x = 5,161,546.49/3,590.69
  6. Step 6: Final answer
    x = 1,437.48

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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.