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Finding the Fourth Proportional to 4,991.32, 7,487.30 and 2,935

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Solution

The fourth proportional to 4,991.32, 7,487.30 and 2,935 is: 4,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.32 : 7,487.30 = 2,935 : x
  2. Step 2: Convert to fraction form
    4,991.32/7,487.30 = 2,935/x
  3. Step 3: Cross multiply
    4,991.32x = 7,487.30 × 2,935
  4. Step 4: Simplify right side
    4,991.32x = 21,975,225.50
  5. Step 5: Solve for x
    x = 21,975,225.50/4,991.32
  6. Step 6: Final answer
    x = 4,402.69

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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.