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Finding the Fourth Proportional to 5,323.52, 7,971.62 and 3,677.81

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Solution

The fourth proportional to 5,323.52, 7,971.62 and 3,677.81 is: 5,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.52 : 7,971.62 = 3,677.81 : x
  2. Step 2: Convert to fraction form
    5,323.52/7,971.62 = 3,677.81/x
  3. Step 3: Cross multiply
    5,323.52x = 7,971.62 × 3,677.81
  4. Step 4: Simplify right side
    5,323.52x = 29,318,045.51
  5. Step 5: Solve for x
    x = 29,318,045.51/5,323.52
  6. Step 6: Final answer
    x = 5,507.26

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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.