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Finding the Fourth Proportional to 5,304.38, 7,317.69 and 3,534.26

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Solution

The fourth proportional to 5,304.38, 7,317.69 and 3,534.26 is: 4,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.38 : 7,317.69 = 3,534.26 : x
  2. Step 2: Convert to fraction form
    5,304.38/7,317.69 = 3,534.26/x
  3. Step 3: Cross multiply
    5,304.38x = 7,317.69 × 3,534.26
  4. Step 4: Simplify right side
    5,304.38x = 25,862,619.06
  5. Step 5: Solve for x
    x = 25,862,619.06/5,304.38
  6. Step 6: Final answer
    x = 4,875.71

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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.