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Finding the Fourth Proportional to 5,094.96, 7,643.32 and 1,632

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Solution

The fourth proportional to 5,094.96, 7,643.32 and 1,632 is: 2,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.96 : 7,643.32 = 1,632 : x
  2. Step 2: Convert to fraction form
    5,094.96/7,643.32 = 1,632/x
  3. Step 3: Cross multiply
    5,094.96x = 7,643.32 × 1,632
  4. Step 4: Simplify right side
    5,094.96x = 12,473,898.24
  5. Step 5: Solve for x
    x = 12,473,898.24/5,094.96
  6. Step 6: Final answer
    x = 2,448.28

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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.