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Finding the Fourth Proportional to 5,300.04, 7,314.78 and 3,204.84

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Solution

The fourth proportional to 5,300.04, 7,314.78 and 3,204.84 is: 4,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.04 : 7,314.78 = 3,204.84 : x
  2. Step 2: Convert to fraction form
    5,300.04/7,314.78 = 3,204.84/x
  3. Step 3: Cross multiply
    5,300.04x = 7,314.78 × 3,204.84
  4. Step 4: Simplify right side
    5,300.04x = 23,442,699.54
  5. Step 5: Solve for x
    x = 23,442,699.54/5,300.04
  6. Step 6: Final answer
    x = 4,423.12

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