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Finding the Fourth Proportional to 5,323.40, 7,338.41 and 3,409.01

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Solution

The fourth proportional to 5,323.40, 7,338.41 and 3,409.01 is: 4,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.40 : 7,338.41 = 3,409.01 : x
  2. Step 2: Convert to fraction form
    5,323.40/7,338.41 = 3,409.01/x
  3. Step 3: Cross multiply
    5,323.40x = 7,338.41 × 3,409.01
  4. Step 4: Simplify right side
    5,323.40x = 25,016,678.63
  5. Step 5: Solve for x
    x = 25,016,678.63/5,323.40
  6. Step 6: Final answer
    x = 4,699.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.