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Finding the Fourth Proportional to 5,403.14, 7,407.68 and 5,304.74

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Solution

The fourth proportional to 5,403.14, 7,407.68 and 5,304.74 is: 7,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.14 : 7,407.68 = 5,304.74 : x
  2. Step 2: Convert to fraction form
    5,403.14/7,407.68 = 5,304.74/x
  3. Step 3: Cross multiply
    5,403.14x = 7,407.68 × 5,304.74
  4. Step 4: Simplify right side
    5,403.14x = 39,295,816.40
  5. Step 5: Solve for x
    x = 39,295,816.40/5,403.14
  6. Step 6: Final answer
    x = 7,272.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.