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Finding the Fourth Proportional to 5,283.69, 7,911.09 and 3,430.19

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Solution

The fourth proportional to 5,283.69, 7,911.09 and 3,430.19 is: 5,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.69 : 7,911.09 = 3,430.19 : x
  2. Step 2: Convert to fraction form
    5,283.69/7,911.09 = 3,430.19/x
  3. Step 3: Cross multiply
    5,283.69x = 7,911.09 × 3,430.19
  4. Step 4: Simplify right side
    5,283.69x = 27,136,502.25
  5. Step 5: Solve for x
    x = 27,136,502.25/5,283.69
  6. Step 6: Final answer
    x = 5,135.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.