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Finding the Fourth Proportional to 5,300.90, 7,308.60 and 3,409.14

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Solution

The fourth proportional to 5,300.90, 7,308.60 and 3,409.14 is: 4,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.90 : 7,308.60 = 3,409.14 : x
  2. Step 2: Convert to fraction form
    5,300.90/7,308.60 = 3,409.14/x
  3. Step 3: Cross multiply
    5,300.90x = 7,308.60 × 3,409.14
  4. Step 4: Simplify right side
    5,300.90x = 24,916,040.60
  5. Step 5: Solve for x
    x = 24,916,040.60/5,300.90
  6. Step 6: Final answer
    x = 4,700.34

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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.