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Finding the Fourth Proportional to 5,958.51, 8,937.60 and 1,576

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Solution

The fourth proportional to 5,958.51, 8,937.60 and 1,576 is: 2,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.51 : 8,937.60 = 1,576 : x
  2. Step 2: Convert to fraction form
    5,958.51/8,937.60 = 1,576/x
  3. Step 3: Cross multiply
    5,958.51x = 8,937.60 × 1,576
  4. Step 4: Simplify right side
    5,958.51x = 14,085,657.60
  5. Step 5: Solve for x
    x = 14,085,657.60/5,958.51
  6. Step 6: Final answer
    x = 2,363.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.